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Journal of Applied Mathematics and Computing

Erschienen in:

01.06.2012 | Applied mathematics

Positive solutions of impulsive boundary value problems for first-order nonlinear functional differential equations

verfasst von: Lijiao Wu, Quanyi Wang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2012

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Abstract

In this paper, we study the problem on the existence of positive solutions for a class of impulsive periodic boundary value problems of first-order nonlinear functional differential equations. By using the fixed point theorem in cones and some analysis techniques, we present some sufficient conditions which guarantee the existence of one and multiple positive solutions for the impulsive periodic boundary value problems. Our results generalize and improve some previous results. Moreover, our results show that positive solutions for the impulsive periodic boundary value problems may be yielded completely by some proper impulsive conditions (see Example 4.1 and Remark 4.2 in Sect. 4), and also implies that proper impulsive conditions are of great significance to simulate processes, optimal control, population model and so on.

Vorheriger Artikel A generalization of the Leggett-Williams fixed point theorem and its application

Nächster Artikel Existence result for boundary value problem of nonlinear impulsive fractional differential equation at resonance

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Titel: Positive solutions of impulsive boundary value problems for first-order nonlinear functional differential equations
verfasst von: Lijiao Wu
Quanyi Wang
Publikationsdatum: 01.06.2012
Verlag: Springer-Verlag
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2012
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-011-0533-9

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