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;

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
Cited by
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