Integral inequalities and mild solutions of semilinear neutral evolution equations

DOI10.1016/j.jmaa.2004.06.040zbMath1074.34059OpenAlexW2020232491MaRDI QIDQ1765794

Jerald P. Dauer, Nazim Idris Mahmudov

Publication date: 23 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.040

zbMATH Keywords

integral inequalitiessemilinear neutral differential equationsnonlocacl Cauchy problem

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

Integral inequalities and pseudo almost automorphic solutions to semilinear differential equations in Banach spaces ⋮ Singular integral inequalities with several nonlinearities and integral equations with singular kernels ⋮ On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations ⋮ Some nonlinear weakly singular integral inequalities with two variables and applications ⋮ On weakly singular versions of discrete nonlinear inequalities and applications ⋮ The asymptotic behavior for second-order neutral stochastic partial differential equations with infinite delay ⋮ Approximate controllability of neutral measure evolution equations with nonlocal conditions ⋮ Existence results for boundary value problems of high order differential equations involving Caputo derivative ⋮ Unnamed Item

Cites Work

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• Functional differential equations with nonlocal initial conditions
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• Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces
• Integral inequalities and global solutions of semilinear evolution equations
• Existence results for partial neutral functional integrodifferential equations with unbounded delay
• On some new inequalities related to certain inequalities in the theory of differential equations
• Controllability of nonlinear neutral evolution integrodifferential systems
• Existence results for a class of abstract nonlocal Cauchy problems
• Controllability of neutral functional integrodifferential systems in Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
• Semilinear Impulsive Neutral Functional Differential Inclusions in Banach Spaces
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces
• Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces

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