On semilinear integro-differential equations with nonlocal conditions in Banach spaces

DOI10.1155/2012/137576zbMath1244.34082OpenAlexW2148773726WikidataQ58694913 ScholiaQ58694913MaRDI QIDQ417089

Tran Dinh Ke, Jen-Chih Yao, Ngai-Ching Wong, Valerii V. Obukhovskij

Publication date: 14 May 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/137576

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions, Nonlocal solutions of parabolic equations with strongly elliptic differential operators, Stability for a class of fractional partial integro-differential equations, Results on nonlocal stochastic integro-differential equations driven by a fractional Brownian motion, Existence and regularity of solutions for neutral partial integro-differential equations with nonlocal conditions, Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay
• Existence and controllability result for semilinear evolution integrodifferential systems
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Global existence for semilinear evolution equations with nonlocal conditions
• Controllability of nonlinear neutral evolution integrodifferential systems
• A remark on the mild solutions of non-local evolution equations
• Existence and uniqueness of solutions to semilinear nonlocal parabolic equations
• Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
• Topological degree and nonlinear mappings of analytic type in Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Resolvent Operators for Integral Equations in a Banach Space
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Topological Fixed Point Theory of Multivalued Mappings
• On decreasing sequences of compact absolute retracts
• Volterra integral and differential equations