Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions

DOI10.1186/1687-2770-2012-100zbMath1281.34123OpenAlexW2106500146WikidataQ59291025 ScholiaQ59291025MaRDI QIDQ384434

Sheng-Li Xie

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-100

zbMATH Keywords

Banach spacesfixed pointmild solutionnonlocal conditionsintegro-differential functional evolution equation

Mathematics Subject Classification ID

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)

Related Items (3)

A Numerical Approach for Solving High-Order Linear Delay Volterra Integro-Differential Equations ⋮ Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < r < 2 ⋮ Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions

Cites Work

• Existence of solutions for nonlinear functional integrodifferential evolution equations with nonlocal conditions
• Existence of mild solutions for abstract semilinear evolution equations in Banach spaces
• Controllability of mixed Volterra-Fredholm-type integro-differential systems in Banach space
• Existence of mild solutions for semilinear evolution equations with non-local initial conditions
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Global existence for semilinear evolution equations with nonlocal conditions
• Non-autonomous integrodifferential equations with non-local conditions
• Nonlocal Cauchy problem for analytic resolvent integrodifferential equations in Banach spaces
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Semilinear integrodifferential equations with nonlocal cauchy problem

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