Existence of positive solutions for singular Dirichlet boundary value problems with impulse and derivative dependence

Author:

Jin Fengfei,Yan Baoqiang

Abstract

AbstractIn this paper, we present a theorem for some impulsive boundary problems with derivative dependence by the upper and lower solutions method. Using the theorem obtained, we consider the existence of positive solutions of some class of singular impulsive boundary problems.

Funder

the NSFC of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference54 articles.

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2. Agarwal, R.P., O’Regan, D.: Multiple nonnegative solutions for second-order impulsive differential equations. Appl. Math. Comput. 114, 51–59 (2000)

3. Ahmad, B.: Existence of solutions for second-order nonlinear impulsive boundary-value problems. Electron. J. Differ. Equ. 2009, 68 (2009)

4. Amann, H.: Existence and multiplicity theorems for semilinear elliptic boundary value problems. Math. Z. 150, 567–597 (1976)

5. Bainov, D.D., Simeonov, P.S.: Impulsive Differential Equations: Periodic Solutions and Applications. Longman Scientific and Technical, Essex (1993)

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