Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems

DOI10.1016/j.na.2004.03.026zbMath1065.34078OpenAlexW2065531438MaRDI QIDQ1881339

Dhirendra Bahuguna

Publication date: 4 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.026

zbMATH Keywords

semigroup of bounded linear operatorsNonlocal Cauchy problem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30)

Related Items (12)

Approximations of solutions to neutral functional differential equations with nonlocal history conditions ⋮ New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem ⋮ Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions ⋮ Existence of solutions for a class of abstract differential equations with nonlocal conditions ⋮ On abstract differential equations with nonlocal conditions involving the temporal derivative of the solution ⋮ Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces ⋮ Approximation of solutions to non-local history-valued retarded differential equations ⋮ Approximation of solutions to history-valued neutral functional differential equations ⋮ Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition ⋮ On a solution to fractional order integrodifferential equations with analytic semigroups ⋮ Existence and regularity of solutions to nonlocal retarded differential equations ⋮ Existence and differentiability of solutions for nondensely defined neutral integro-differential evolution equations

Cites Work

• 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
• Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
• Existence of solutions of a delay differential equation with nonlocal condition
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems
• Semilinear integrodifferential equations with nonlocal cauchy problem

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