An application of Schauder's fixed point theorem to the existence of solutions of impulsive differential equations

DOI10.1007/BF02456951zbMath0821.34016OpenAlexW2064920193MaRDI QIDQ1892323

Erxin Zou, Yujun Dong

Publication date: 3 October 1995

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02456951

zbMATH Keywords

Schauder's fixed point theoremimpulsive systemtwo-point boundary value problem for second-order differential equation with one impulsive action

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations with impulses (34A37)

Related Items

On equivalent conditions for the solvability of the equation \((p(t)x')'+f(t,x)=h(t)\) satisfying linear boundary conditions with \(f\) restricted by linear growth conditions

Cites Work

• Existence results for boundary value problems of second order impulsive differential equations
• On a nonlinear two-point boundary value problem
• Periodic boundary value problems for second order impulsive differential systems
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