On Semilinear Integro‐Differential Equations with Nonlocal Conditions in Banach Spaces
Copyright policy )On Semilinear Integro‐Differential Equations with Nonlocal Conditions in Banach Spaces
We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set.
- Voronezh State Pedagogical University Russian Federation
- Pedagogical University Mozambique
- Hanoi National University of Education Viet Nam
- General Education Center of Iwate Japan
- Kaohsiung Medical University Taiwan
Artificial intelligence, Class (philosophy), Set (abstract data type), Nonlinear differential equations in abstract spaces, Integro-Differential Equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, QA1-939, FOS: Mathematics, Cauchy distribution, C0-semigroup, Banach space, Applications of operator theory to differential and integral equations, Applied Mathematics, Physics, Pure mathematics, Linguistics, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, FOS: Philosophy, ethics and religion, Programming language, Philosophy, Initial value problem, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, FOS: Languages and literature, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics
Artificial intelligence, Class (philosophy), Set (abstract data type), Nonlinear differential equations in abstract spaces, Integro-Differential Equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, QA1-939, FOS: Mathematics, Cauchy distribution, C0-semigroup, Banach space, Applications of operator theory to differential and integral equations, Applied Mathematics, Physics, Pure mathematics, Linguistics, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, FOS: Philosophy, ethics and religion, Programming language, Philosophy, Initial value problem, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, FOS: Languages and literature, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics
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