Electron. J. Diff. Eqns., Vol. 2004(2004), No. 52, pp. 1-9.

Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

Shruti Agarwal & Dhirendra Bahuguna

Abstract:
In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution. We consider also some applications of the abstract results.

Submitted October 6, 2003. Published April 8, 2004.
Math Subject Classifications: 34K30, 34G20, 47H06.
Key Words: Nonlocal problem, accretive operator, strong solution, method of lines

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Shruti Agarwal
Department of Mathematics
Indian Institute of Technology, Kanpur - 208 016, India
email: shrutiag@iitk.ac.in
Dhirendra Bahuguna
Department of Mathematics
Indian Institute of Technology, Kanpur - 208 016, India
email: dhiren@iitk.ac.in

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