Basic Results in the Theory of Hybrid Casual Nonlinear Differential Equations

- Journal title : Kyungpook mathematical journal
- Volume 55, Issue 4, 2015, pp.1069-1088
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2015.55.4.1069

Title & Authors

Basic Results in the Theory of Hybrid Casual Nonlinear Differential Equations

DHAGE, BAPURAO CHANDRABHAN;

DHAGE, BAPURAO CHANDRABHAN;

Abstract

In this paper, some basic results concerning the existence, strict and nonstrict inequalities and existence of the maximal and minimal solutions are proved for a hybrid causal differential equation. Our results generalize some basic results of Leela and Laksh-mikantham [13] and Dhage and Lakshmikantham [10] respectively for the nonlinear first order classical and hybrid differential equations.

Keywords

Hybrid causal differential equation;Existence theorem;differential inequalities;Comparison result;Extremal solutions;

Language

English

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