Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions

This paper describes the method of quasilinearization for first-order nonlinear impulsive functional differential equations with anti-periodic boundary conditions. A monotone iterative technique coupled with lower and upper solutions is employed to obtain sequences of approximate solutions convergin...

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Vydané v:	Nonlinear analysis Ročník 69; číslo 10; s. 3291 - 3298
Hlavní autori:	Ahmad, Bashir, Nieto, Juan J.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Ltd 15.11.2008 Elsevier
Predmet:	Difference and functional equations, recurrence relations Exact sciences and technology Finite differences and functional equations Impulsive functional differential equations Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Quadratic convergence Quasilinearization Sciences and techniques of general use 34A37 Quadratic convergence Quasilinearization 34B10 Impulsive functional differential equations Approximation Differential equation Existence of solution Nonlinear analysis Functional equation Impulsive equation Boundary condition Convergence Non linear equation Mathematical model
ISSN:	0362-546X, 1873-5215
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