Existence of Solutions of Multi-Point BVPs for Impulsive Functional Differential Equations with Nonlinear Boundary Conditions

Liu, Yuji¹

¹ Department of Mathematics, Guangdong University of Business Studies, Guangzhou, P. R. China

Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 2, p. 133-150.

Résumé

Two classes of multi-point BVPs for first order impulsive functional differential equations with nonlinear boundary conditions are studied. Sufficient conditions for the existence of at least one solution to these BVPs are established, respectively. Our results generalize and improve the known ones. Some examples are presented to illustrate the main results.

Détail

DOI : 10.22436/jnsa.005.02.07

Classification : 34B37, 65Q20, 65L05, 92D25
Keywords: Nonlinear multi-point boundary value problem, first order impulsive functional differential equation, fixed-point theorem, growth condition.

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