Membros > Membros Docentes

Sandra Pinelas

Morada Institucional

Academia Militar
Departamento de Ciências Exactas e Naturais
Av. Conde Castro Guimarães
2720-113 AMADORA
Portugal


Telefone: +351 294985660 | Email: sandra.pinelas@gmail.com | Web: sites.google.com/site/sandrapinelas/home

Posição

Professora Auxiliar, Academia Militar

Área

Análise Numérica e Aplicações

Área Principal

Análise Aplicada e Análise Numérica

Outra Área

Equações Diferenciais Ordinárias

Qualificações

  •  Doutoramento em Análise Matemática pela Universidade dos Açores (2007)

Publicações

Artigos em Revistas Internacionais

Ramdoss, M. ; Pinelas, Sandra; Veeramani, V.  (2018) Stability of Tridecic Functional Equation in Matrix Normed Spaces. Journal of Advances in Mathematics, (in press).
Selvarangam, S.; Madhan, M.; Thandapani, E. ; Pinelas, Sandra (2018) Improved Oscillation Theorems For Third Order Neutral Type Difference Equations. Electronic Journal of Differential Equations, (in press).
Ramdoss, M. ; Pinelas, Sandra; Raj, A. Antony  (2018) Stability of Nonic Functional Equations in Multi-Banach Spaces. Global Journal of Mathematics, (in press).
Ravi, K. ; Rassias, J.M.; Pinelas, Sandra; Suresh, S. (2016) General Solutions and Stability of Quattuordecic Functional Equation in Quasi \beta – Normed Spaces. Advances in Pure Mathematics: 6, 921-941.
Berezansky, L. ; Pinelas, Sandra (2016) Oscillation Properties for a Scalar Linear Difference Equation of Mixed Type. Mathematica Bohemica: 2, 169-182.
Tripathy, A.K.; Santra, S.S.; Pinelas, Sandra (2016) Necessary and sufficient condition for asymptotic behavior of solutions of a class of first order impulsive systems. Advances in Dynamical Systems and Applications: 11(2), 135-145.
Santra, S.S.; Pinelas, Sandra (2016) Qualitative behaviour for second order nonlinear delay differential equations of neutral type. Global Journal of Mathematics : 8(3).
Ravi, K. ; Rassias, J.M.; Pinelas, Sandra; Sabarinathan, S.  (2016) A Fixed Point Approach to the Stability of Decic Functional Equation in Quasi-\beta-Normed Spaces. PanAmerica Math Journal : 26(2), 1-21.
Narasimman, P. ; Ravi, K.; Pinelas, Sandra (2016) Modeling the Additive Functional Equations Through RSM Matrices. Journal of Advances in Mathematics: 12(10), 6714-6719.
Thandapani, E. ; Manju, K.; Pinelas, Sandra (2016) Interval Oscillation Criteria for Second-order Forced Impulsive Delay Differential Equations with Damping Term. SpringerPlus : 5:558, 1-16.
Salvarangam, S.; Geetha, S.; Thandapani, E.; Pinelas, Sandra (2016) Classification of Solutions of Second Order Nonlinear Neutral Difference Equations of Mixed Type. Journal Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algoritms: 23, 433-447.
George E Chatzarakis; Hajnalka Péics; Pinelas, Sandra; Ioannis P Stavroulakis (2015) Oscillation Results for Difference Equations with Oscillating Coefficients. Advances in Difference Equations, 2015:53.
K. Ravi; Pinelas, Sandra; A. Edwin Raj (2015) A fixed Point Approach to Generalized Hyers-Ulam Stability of Quadratic Functional Equation in Matrix Normed Space. Enlightenment of Pure and Applied Mathematics: 1(2), 37-52.
P. Narasimman,; K. Ravi; Pinelas, Sandra (2015) Stability of Pythagorean Mean Functional Equation. Global Journal of Mathematics: 4(1), 398-411.
D. Segher; E. Thandapani; Pinelas, Sandra (2015) Some New Oscillation Theorems for Second Order Difference Equations with Mixed Neutral Terms. British Journal of Mathematics & Computer Sciences: 8(2), 121-133.
K. Ravi; Pinelas, Sandra; R. Jamina (2015) HUR-UGR-UJR Stabilities of a kl-cubic Funcional Equation in Quasi-beta-normed Spaces: Direct and Fixed Point Methods. Enlightenment of Pure and Applied Mathematics: 1(2), 61-78.
Chatzarakis, G. E.; Manojlovic, J.; Pinelas, Sandra; Stavroulakis, I. P. (2015) Oscillation criteria of difference equations with several deviating arguments. The Yokohama Mathematical Journal: 60, 1-19.
E. Thandapani,; D. Seghar; Pinelas, Sandra (2015) Oscillation Theorems for Second Order Difference Equations with Negative Neutral Term. Tamkang Journal of Mathematics: 46(4), 441-451.
R. Koplatadze ; Pinelas, Sandra (2015) Oscillation Criteria for First Order Linear Difference Equations with Several Delay Arguments. Journal of Mathematical Sciences: 28(5), 571-592.
Ravi, K.; Rassias, J. M.; Pinelas, Sandra; Narasimman, P. (2014) The Stability of a Generalized Radical Reciprocal Quadratic Functional Equation in Felbin’s Space. Pan-American Mathematical Journal: 24(1), 75-92.
Koplatadze, R.; Pinelas, Sandra (2014) Oscillation Criteria for First Order Linear Difference Equations with Several Delay Arguments. Nonlinear Oscillations : 17(2), 248-267.
Pinelas, Sandra (2014) Asymptotic Behavior of Mixed Type Differential Equation. Electronic Journal of Differential Equations: 2014, 1-9.
Thandapani, E.; Padmavathi, S.; Pinelas, Sandra (2014) Oscillation Criteria For Odd-Order Nonlinear Neutral Differential Equations with Mixed Arguments. Electronic Journal of Differential Equations: 2014(174), 1-13.
Thandapani, E.; Padmavathi, S.; Pinelas, Sandra (2014) Oscillation Criteria For Even-Order Nonlinear Neutral Differential Equations of Mixed Type. Bulletin of Mathematical Analysis and Applications: 6(1), 9-22.
Ravi, K. ; Rassias, J.M.; Pinelas, Sandra; Jamuna, R. (2014) A fixed point approach to the stability of a quadratic quartic functional equation in Paranormed spaces. Pan-American Mathematical Journal: 24(2), 61–84.
Selvarangam, S.; Thandapani, E.; Pinelas, Sandra (2014) Oscillation Theorems for Second Order Nonlinear Neutral Difference Equations. Journal of Inequalities and Apllications: 2014, 417.
Ferreira, J. M. ; Pinelas, Sandra; Ruffin, A. (2014) Oscillatory Difference Equations and Moment Problems. Advances in Difference Equations : 1, 110.
Thandapani, E.; Padmavathi, S.; Pinelas, Sandra (2014) Oscillation Results For Odd-order Nonlinear Neutral Differential Equations of Mixed Type. Dynamic Systems and Applications: 23, 63-74.
Agarwal, R.P.; Bohner, M.; Ferreira, J.M.; Pinelas, Sandra (2013) Delay difference equations: coexistence of oscillatory and nonoscillatory solutions. Analysis: 33, 333-348.
Chatzarakis, G. E.; Pinelas, Sandra; Stavroulakis, I. P. (2013) Oscillations of Difference Equations with Several Deviated Arguments. Aequationes Mathematicea: 88(1-2), 105-123.
Grace, S.R.; Pinelas, Sandra; Agarwal, R.P. (2013) Oscillation criteria for n-th order nonlinear dynamic equations on time-scales. Journal of the Indian Mathematical Society: 80(1-2), 79-85.
Thandapani, E.; Padmavathi, S; Pinelas, Sandra (2013) Oscillation Criteria For Even Order Nonlinear Neutral Differential Equations With Mixed Arguments. Journal of Advances in Mathematics: 5, 575-589.
Koplatadze, R. ; Pinelas, Sandra (2013) On oscillations of solutions of second order nonlinear difference equations. Journal of Mathematical Sciences: 189(5), 784-794.
Koplatadze, R. ; Pinelas, Sandra (2012) On oscillations of solutions of second order nonlinear difference equations. Nonlinear Oscillations: 15(2), 194-203.
Grace, S.R.; Pinelas, Sandra; Agarwal, R. P. (2012) Oscillatory behaviour of odd order neutral delay dynamic equations on time-scales. International Journal of Dynamical Systems and Differential Equations: 4(3), 187-197.
Thandapani, E.; Padmavathi, S.; Pinelas, Sandra (2012) Classifications of solutions of second-order nonlinear neutral differential equations of mixed type. Advances in Difference Equations: 226.
Thandapani, E.; Kavitha, N.; Pinelas, Sandra (2012) Comparison and oscillation theorem for second-order nonlinear neutral difference equations of mixed type. Dynamic Systems and Applications: 21, 83-92.
Pinelas, Sandra; Koplatadze, R. (2012) Oscillation of nonlinear difference equations with delayed argument. Communications in Applied Analysis: 16(1), 87-96.
Thandapani, E.; Piramanantham, V.; Pinelas, Sandra (2012) Oscillation theorems of fourth order nonlinear dynamic equations on time scales. International Journal of Pure and Applied Mathematics: 76(4), 455-468.
Thandapani, E.; Kavitha, N.; Pinelas, Sandra (2012) Oscillation criteria for second-order nonlinear neutral difference equations of mixed type. Advances in Difference Equations: 4, 1-10.
Ferreira, J. M.; Ford, N. J.; Malique, Md. A.; Pinelas, Sandra; Yan, Y. (2011) Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Journal of Computational and Applied Mathematics: 235(17), 5112-5130.
Grace, S. R.; Agarwal, R. P.; Pinelas, Sandra (2011) Oscillation Criteria for a Certain Fourth Order Sublinear Dynamic Equations on Time Scales. Annals of Differential Equations: 3, 361-366.
Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra (2011) On the Oscillation of Fourth Order Superlinear Dynamic Equations on Time Scales. Dynamic Systems and Applications: 20 , 45-54.
Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra (2011) Comparison and oscillatory behavior for certain second order nonlinear dynamic equations. Journal of Applied Mathematics and Computing: 35(1-2), 525-536.
Agarwal, R.P.; Benchohra, M.; Hamani, S.; Pinelas, Sandra (2011) Upper and Lower Solutions Method for Impulsive Differential Equations Involving the Caputo Fractional Derivative. Memoirs on Differential Equations and Mathematical Physics: 53 , 1-12.
Thandapani, E.; Piramanantham, V.; Pinelas, Sandra (2011) Oscillation criteria for second order neutral delay dynamic equations with mixed nonlinearities. Advances in Difference Equations: 2011, 513757.
Grace, S.R.; Agarwal, R.P.; Bohner, M.; Pinelas, Sandra (2011) Oscillation of Some Fourth-Order Difference Equations. International Journal of Difference Equations: 6(2) , 105-112.
Agarwal, R.P.; Benchohra, M.; Hamani, S.; Pinelas, Sandra (2011) Boundary Value Problems for Differential Equations Involving Riemann-Liouville Fractional Derivative on the Half-Line. DCDIS: Dynamics of Continuous, Discrete and Impulsive Systems: 18(2) , 235-244.
Grace, S. R.; Agarwal, R. P.; Pinelas, Sandra (2010) Oscillation Criteria for Certain Fourth Order Nonlinear Difference Equations. Communications in Applied Analysis: 14(4), 337-342.
Agarwal, R. P.; O’Regan, D.; Pinelas, Sandra (2010) Bounds for Analytic Solutions to Integral Equations in the Complex Domain. Applied Mathematics Letters: 23(8), 847-851.
Thandapani, E.; Murugadass, S.; Pinelas, Sandra (2010) Oscillations criteria for second order nonlinear differential equations with damping and mixed nonlinearities. Functional Differential Equations: 17(3-4), 1-10.
Ferreira, J. M. ; Pinelas, Sandra (2010) Oscillatory mixed differential systems. Funkcialaj Ekvacioj: 53 , 1-20.
Ravi, K.; Kumar, B. V. S.; Thandapani, E; Pinelas, Sandra (2010) Solution and Generalized Hyers-Ulam Stability of a 2-variable Cubic Functional Equation. Pan American Mathematical Journal: 20, 15-30.
Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra (2010) On the oscillatory and asymptotic behavior of certain fourth order difference equations. Functional Differential Equations: 17(1-2), 105-112.
Thandapani, E.; Murugadass, S.; Pinelas, Sandra (2010) Oscillation Criteria for Forced Second Order Mixed Type Quasilinear Delay Differential Equations. Electronic Journal of Differential Equations: 73, 1-9.
Grace, S. R.; Pinelas, Sandra (2010) Asymptotic Behavior of Solutions of Certain Nonlinear Differential and Integro-differential Equations. Proc. Jangjeon Math. Soc.: 13, 133-148.
Ferreira, J. M. ; Pinelas, Sandra (2010) Oscillatory generalized Lucas sequences. International Journal of Differential Equations : 2010, 1-15.
Grace, S.R.; Argawal, R.P.; Pinelas, Sandra (2009) On the oscillations of fourth order functional differential equations. Communications in Applied Analysis: 13(1), 93-104.
Berezansky, L.; Braverman, E.; Pinelas, Sandra (2009) On nonoscillation of mixed advanceddelay differential equations with positive and negative coefficients. Computers & Mathematics with Applications: 58(4), 766-775.
Agarwal, R.P.; Pinelas, Sandra; Wong, P.J.Y. (2009) Complementary Lidstone interpolation and boundary value problems. Journal of Inequalities and Applications, 624-631.
Ferreira, J.M.; Pinelas, Sandra; Ruffing, A. (2009) Nonautonomous oscillators and coefficient evaluation for orthogonal function systems. Journal of Difference Equations and Applications : 15(11-12), 1117-1133.
Agarwal, R.P.; Pinelas, Sandra (2009) Qualitative theory of divided difference first order systems. Communications on Applied Nonlinear Analysis : 16(2), 83-105.
Pinelas, Sandra (2009) Oscillations and nonoscillations in mixed differential equations with monotonic delays and advances. Advances in Dynamical Systems and Applications: 4(1), 107-121.
Ferreira, J. M. ; Pinelas, Sandra (2006) Oscillatory mixed difference systems. Advances in Difference Equations: Article ID 92923 , 1-18.
Ferreira, J. M. ; Pinelas, Sandra (2005) Nonoscillations in retarded systems. Journal of Mathematical Analysis and Applications : 308, 714-729.
Ferreira, J. M. ; Pinelas, Sandra (2003) Oscillatory retarded functional systems. Journal of Mathematical Analysis and Applications: 285, 506-527.

Livros

Pinelas, Sandra; Dosla, Z.; Dosly, O.; Kloeden, P. (2016) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, Springer, New York: 164, 451.
Agarwal, R. P.; Perera, K.; Pinelas, Sandra (2011) An Introduction to Complex Analysis. Springer, 231 pp..

Artigos ou Capítulos em Livros Editados

Pinelas, Sandra (2010) Oscillatory mixed differential difference equations. Discrete Dynamics and Difference Equations: 2010, 355-364.
Pinelas, Sandra (2006) Nonoscillations in odd order difference systems of mixed type. World Scientific, 507-519.

Comunicações em Actas de Conferência

Pinelas, Sandra;  (2005) Nonoscillations in retarded equations. GBS Publishers & Distributors, 563-571.

Edição de Livros

Pinelas, Sandra; Chipot, M.; Dosla, Z. (2013) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics: 47, 665.
Torres, D.F.M.; Benchohra, M.; Debbouche, A.; Pinelas, Sandra (2013) Special Issue: Difference and Differential Equations. International Journal of Differential Equations, Hindawi: 8(1), ISSN 0973-6069.
Bohner, M.; Dosla, Z.; Pinelas, Sandra (2012) Oscillation of Difference, Differential, and Dynamic Equations. Advances in Difference Equations .

Outro Informação

Participação em seminários e simpósios científicos

1. O mundo de Tarski, conferência no Colóquio sobre Ensino e Aplicações da Matemática, integrado no Dia da Ciência e Tecnologia (Universidade de Évora) em Junho de 1993.

2. Comportamento oscilatório em sistemas retardados, Seminário no Departamento de Matemática da Universidade dos Açores sob o tema Sistemas Dinâmicos e Aplicações, Julho de 2004, Ponta Delgada, Portugal.

3. Nonoscilations in Retarded Equations, International conference on Dynamic Systems and Applications, 5-10 de Agosto 2004, Antalya, Turquia 

4. Nonoscillations in odd order difference systems of mixed type, International Conference on Difference Equations, Special Functions & Applications, 25-30 de Julho de 2005, Munique, Alemanha. 

5. scillations in difference systems of mixed type, Progress on Difference Equations, 5-9 de Março de 2006, Homburg, Alemanha.

6. Comportamento Oscilatório de Sistemas às Diferenças, Seminário no Departamento de Matemática da Universidade dos Açores, Dezembro de 2006, Ponta Delgada, Portugal.

7. A hierarquia de Chomsky nos Autómatos Celulares, Seminário no Departamento de Matemática da Universidade dos Açores, Janeiro de 2007, Ponta Delgada, Portugal.

8. Comportamento Oscilatório de Sistemas às Diferenças, Seminário no Departamento de Matemática da Universidade de Aveiro, Grupo de Análise Funcional e Aplicações, 3 de Maio de 2007, Aveiro, Portugal.

9. Ocillatory Behavior of Mixed Differential Difference Equations, International Conference on Difference Equations, Special Functions & Applications, 23-27 de Julho de 2007, Lisboa, Portugal.

10. Oscillatory Mixed Differential Equations with Monotonic Delays and Advances, International Conference in honour of Professor Dr. Allan Peterson, 29 de Julho a 2 de Agosto de 2007, Novacella Monastery, Italia.

11. Oscillatory mixed differential systems, Progress on Difference Equations, Conference in honour of Professor Dr. Saber Elaydi, 12-17 de Março de 2008, Laufen, Alemanha. 

12. Bounded solutions of a rational difference equation, 14th International Conference on Difference Equations, Special Functions & Applications, 21-25 de Julho de 2008, Istambul, Turquia.

13. Bounded solutions of a rational difference equation, Winter Conference in Difference Equations, 8-12 de Janeiro de 2009, Homburg, Alemanha.

14. On oscillatory generalized Lucas sequences, Progress on Difference Equations, Conference in honour of Professor Dr. Gerry Ladas, 25-29 de Maio de 2009, Bedlewo, Polónia.

15. Qualitative Theory of Divided Difference First Order Systems, Equadiff 12, 20-24 de Julho de 2009, Brno, Republica Checa.

16. Oscillatory mixed differential systems, International workshop Functional Differencial Equations and Related Problems: Analysis and Numerical Approaches, Departamento de Matemática do Instituto Superior Técnico da Universidade Técnica de Lisboa, 18 de Fevereiro de 2010, Lisboa, Portugal.

17. Simultaneous Oscillation and Nonoscillation of Some Retarded Functional Equations, The 6th International Conference: Dynamical Systems and Applications, 10-14 de Julho de 2010, Antalya, Turquia.

18. Teoria qualitativa de sistemas de primeira ordem com diferenças divididas, Dia das Equações, 10 de Setembro de 2010, Braga, Portugal.

19. Coexistência de Oscilações e Não-oscilações, Seminários de Análise, 23 de Maio de 2012, Vila Real, Portugal.

20. symptotic and Oscillatory Behaviour of the Solutions of a Difference Equation with Several Arguments, Symposium on Differential Equations and Difference Equations 2012, 28 de Outubro – 1 de Novembro 2012, Novacella, Italia.

21. Optimal oscillation criteria for first order difference equations with several delay arguments, Symposium on Differential Equations and Difference Equations 2013, 1 – 5 de Setembro 2013, Bairyschzell, Alemanha.

22. Asymptotic and oscillatory behavior of the solutions of a difference equation with several arguments, 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 7 – 11 de Julho 2014, Madrid, Espanha.

23. Oscillation criteria for nonlinear neutral differential equations with mixed arguments, 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 7 – 11 de Julho 2014, Madrid, Espanha.

24. Oscillatory and nonoscillatory solutions for difference equations with several delays, The Seventh International Conference on Differential and Functional Differential Equations, 22 – 29 de Agosto 2014, Moscovo, Russia. (Main Speaker).

 

 

Conferências

International Conference on Dynamic Systems and Applications Antalya, Turquia  (Comunicação)