Existence and differentiability of solutions for nondensely defined neutral integro-differential evolution equations
DOI10.1007/s40840-022-01428-4OpenAlexW4310226104MaRDI QIDQ2107438
Publication date: 1 December 2022
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-022-01428-4
nonlocal conditionHille-Yosida conditionBanach fixed point theoremneutral integro-differential equationintegrated resolvent operator
Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)
Cites Work
- Unnamed Item
- Unnamed Item
- Existence results for neutral integro-differential equations with unbounded delay
- Integrated semigroups
- Hille-Yosida operators and Cauchy problems
- Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators
- Existence of nondensely defined evolution equations with nonlocal conditions
- Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
- Existence of mild solutions for semilinear evolution equations with non-local initial conditions
- Analytic resolvent operators for integral equations in Banach space
- Vector-valued Laplace transforms and Cauchy problems
- Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- An integrodifferential equation for rigid heat conductors with memory
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal conditions
- Global solutions of abstract semilinear parabolic equations with memory terms
- Existence of solutions for neutral integrodifferential equations with nonlocal conditions
- ``Integrated semigroups and integrated solutions to abstract Cauchy problems
- Theory and applications of partial functional differential equations
- Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems
- Integrated resolvent operators
- Pseudo almost periodic solutions to integro-differential equations of heat conduction in materials with memory
- Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators
- Existence and regularity for some partial neutral functional integrodifferential equations with nondense domain
- Existence results for neutral integro-differential equations with nonlocal conditions
- Approximate controllability of nonlocal and impulsive neutral integro-differential equations using the resolvent operator theory and an approximating technique
- Existence and stability of traveling waves for an integro-differential equation for slow erosion
- Optimal mild solutions for a class of nonlocal multi-valued stochastic delay differential equations
- Global existence for a semilinear parabolic Volterra equation
- EXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS OF NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
- Vector-valued Laplace Transforms and Cauchy Problems
- On the Linear Heat Equation with Fading Memory
- Series Expansions for Resolvents of Volterra Integrodifferential Equations in Banach Space
- Resolvent Operators for Integral Equations in a Banach Space
- Evolutionary Integral Equations and Applications
- Abstract quasilinear integrodifferential equations of hyperbolic type
- Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces
- Resolvent Positive Operators
- Semilinear integrodifferential equations with nonlocal cauchy problem
- Controllability Results for Fractional Functional Differential Equations with Nondense Domain
- Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions
- Solvability of nondensely defined partial functional integrodifferential equations using the integrated resolvent operators
- Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain
This page was built for publication: Existence and differentiability of solutions for nondensely defined neutral integro-differential evolution equations