Existence of solutions of semilinear time varying differential equations with impulses, delay, and nonlocal conditions

DOI10.1007/s13370-021-00948-9zbMath1499.34382OpenAlexW4206929140WikidataQ115375835 ScholiaQ115375835MaRDI QIDQ2115647

Dalia Cabada, Rodolfo Gallo, Hugo Leiva

Publication date: 17 March 2022

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-021-00948-9

zbMATH Keywords

impulsesdelaytime-varying systemsnonlocal conditionsKarakostas fixed point theorem

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10)

Cites Work

• Karakostas fixed point theorem and the existence of solutions for impulsive semilinear evolution equations with delays and nonlocal conditions
• An extension of Krasnosel'skii's fixed point theorem for contractions and compact mappings
• Solutions to fractional neutral delay differential nonlocal systems
• Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay
• Nonlinear differential equations with nonlocal conditions in Banach spaces
• Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness
• Controllability results for impulsive differential systems with finite delay
• Controllability for a class of integro-differential evolution equations involving non-local initial conditions
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Delay Differential Equations
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Controllability of semilinear impulsive nonautonomous systems
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