Karakostas fixed point theorem and the existence of solutions for impulsive semilinear evolution equations with delays and nonlocal conditions

Publication date: 15 January 2019

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1547262053

zbMATH Keywords

impulses semigroups sectorial operator delays nonlocal conditions semilinear evolution equations fractional power spaces Karakostas fixed point theorem

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions ⋮ Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations ⋮ Existence of solutions for semilinear retarded equations with non-instantaneous impulses, non-local conditions, and infinite delay ⋮ Unnamed Item ⋮ Controllability of time-varying systems with impulses, delays and nonlocal conditions ⋮ Roughness of the controllability for time varying systems under the influence of impulses, delay, and nonlocal conditions ⋮ Existence of solutions of semilinear time varying differential equations with impulses, delay, and nonlocal conditions

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