Existence of the Mild Solution for Impulsive Semilinear Differential Equation
Copyright policy )Existence of the Mild Solution for Impulsive Semilinear Differential Equation
We study the existence of solutions of impulsive semilinear differential equation in a Banach space X in which impulsive condition is not instantaneous. We establish the existence of a mild solution by using the Hausdorff measure of noncompactness and a fixed point theorem for the convex power condensing operator.
Applications of operator theory to differential and integral equations, Nonlinear differential equations in abstract spaces, Ordinary differential equations with impulses, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
Applications of operator theory to differential and integral equations, Nonlinear differential equations in abstract spaces, Ordinary differential equations with impulses, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
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