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http://dx.doi.org/10.5666/KMJ.2015.55.4.1069

Basic Results in the Theory of Hybrid Casual Nonlinear Differential Equations

DHAGE, BAPURAO CHANDRABHAN (Kasubai, Gurukul Colony)

Publication Information

Kyungpook Mathematical Journal / v.55, no.4, 2015 , pp. 1069-1088 More about this Journal

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;

Citations & Related Records

Reference

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