Approximations of solutions to neutral functional differential equations with nonlocal history conditions |
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| Authors: | Dhirendra Bahuguna Shruti Agarwal |
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| Affiliation: | Indian Institute of Technology-Kanpur, Department of Mathematics and Statistics, Kanpur 208 016, India |
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| Abstract: | This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo-Galerkin approximation of solution is shown. For illustration, an example is worked out. |
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| Keywords: | Faedo-Galerkin approximation Analytic semigroup Nonlocal history condition |
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