In this paper, four functionals fixed point theorem is used to investigate\n the existence of positive solutions for second-order time-scale boundary\n value problem of impulsive dynamic equations on the half-line.

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Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line

In this paper is provided a new representation of periodic solution to the impulsive Logistic equation considered in [7].

A Periodic Solution to Impulsive Logistic Equation

In this paper, we employ the well-known Krasnoselskii fixed point theorem to study the existence and n-multiplicity of positive periodic solutions for the periodic impulsive functional differential equations with two parameters. The form including an impulsive term of the equations in this paper is rather general and incorporates as special cases various problems which have been studied extensively in the literature. Easily verifiable sufficient criteria are obtained for the existence and n-multiplicity of positive periodic solutions of the impulsive functional differential equations.

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Existence and n-multiplicity of positive periodic solutions for impulsive functional differential equations with two parameters

By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with parameter are obtained. An example is given to illustrate the main results in this paper.

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Multiple Positive Solutions for Nonlinear First-Order Impulsive Dynamic Equations on Time Scales with Parameter

In this paper, by using the Krasnoselskii fixed point theorem on cone compression and expansion, we study the existence of positive periodic solutions of differential equations with impulses and delays, and obtain some new results.

Jianhua Shen

Papers

On Positive Periodic Solutions to Impulsive Differential Equations with Delays