Nonautonomous partial functional differential equations; existence and regularity
Copyright policy )Nonautonomous partial functional differential equations; existence and regularity
Abstract The aim of this work is to establish several results on the existence and regularity of solutions for some nondensely nonautonomous partial functional differential equations with finite delay in a Banach space. We assume that the linear part is not necessarily densely defined and generates an evolution family under the conditions introduced by N. Tanaka.We show the local existence of the mild solutions which may blow up at the finite time. Secondly,we give sufficient conditions ensuring the existence of the strict solutions. Finally, we consider a reaction diffusion equation with delay to illustrate the obtained results.
- Université de Yaoundé I Cameroon
- Cadi Ayyad University Morocco
- University of Ngaoundéré Cameroon
nonautonomous equation, Fractional Differential Equations, evolution family, stability conditions, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Differential equation, QA1-939, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Work (physics), compatibility conditions, Functional Differential Equations, Functional-differential equations in abstract spaces, Banach space, Applied Mathematics, Physics, Pure mathematics, Partial differential equation, generalized variation of constants formula, Applied mathematics, Computer science, Operating system, Semilinear Differential Equations, Computational Theory and Mathematics, Control and Systems Engineering, Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions), Functional differential equation, Physical Sciences, Computer Science, Analysis and Control of Distributed Parameter Systems, Thermodynamics, Finite Difference Schemes, mild and strict solutions, Mathematics, Nonlinear Systems
nonautonomous equation, Fractional Differential Equations, evolution family, stability conditions, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Differential equation, QA1-939, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Work (physics), compatibility conditions, Functional Differential Equations, Functional-differential equations in abstract spaces, Banach space, Applied Mathematics, Physics, Pure mathematics, Partial differential equation, generalized variation of constants formula, Applied mathematics, Computer science, Operating system, Semilinear Differential Equations, Computational Theory and Mathematics, Control and Systems Engineering, Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions), Functional differential equation, Physical Sciences, Computer Science, Analysis and Control of Distributed Parameter Systems, Thermodynamics, Finite Difference Schemes, mild and strict solutions, Mathematics, Nonlinear Systems
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