Abstract semilinear evolution equations with convex-power condensing operators

DOI10.1155/2013/473876zbMath1452.34067OpenAlexW1996083104WikidataQ59014234 ScholiaQ59014234MaRDI QIDQ2443720

Qianglian Huang, Lanping Zhu, Gang Li

Publication date: 8 April 2014

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/473876

zbMATH Keywords

fixed point theoremsconvex-power condensing operatorsexistence of mild solutionsnonlocal impulsive semilinear differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Controllability problem for fractional integrodifferential evolution systems of mixed type with the measure of noncompactness

Cites Work

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• Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces
• A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Impulsive semilinear differential inclusions: topological structure of the solution set and solutions on non-compact domains
• A class of nonlinear evolution equations subjected to nonlocal initial conditions
• Existence results for fractional order semilinear integro-differential evolution equations with infinite delay
• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
• Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
• Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Global existence for semilinear evolution equations with nonlocal conditions
• Existence results for a class of abstract nonlocal Cauchy problems
• Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
• Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
• Multivalued evolution equations with nonlocal initial conditions in Banach spaces
• On a nonlocal problem for semilinear differential equations with upper semicontinuous nonlinearities in general Banach spaces
• On the existence of mild solutions of semilinear evolution differential inclusions
• A short course on operator semigroups
• Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
• Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• SEMILINEAR NONLOCAL PROBLEMS WITHOUT THE ASSUMPTIONS OF COMPACTNESS IN BANACH SPACES
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• One-Parameter Semigroups for Linear Evolution Equations

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