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Application of Rothe’s Method to Some Functional Differential Equations with Dirichlet Boundary Conditions

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Abstract

The existence and uniqueness of a strong solution for a class of partial functional differential equations with Dirichlet boundary conditions is established by applying Rothe’s method. As an application, we included an example to illustrate the main result.

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Acknowledgements

The authors would like to thank the referees for their valuable comments and suggestions which help us to improve the original manuscript. The second author acknowledges the financial help from UGC, India under its Research Start-Up-Grant F.30-310/2016 (BSR).

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Silchar, Cachar, Assam, 788010, India

    Md. Maqbul

  2. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    A. Raheem

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  1. Md. Maqbul
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  2. A. Raheem
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Correspondence to Md. Maqbul.

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Maqbul, M., Raheem, A. Application of Rothe’s Method to Some Functional Differential Equations with Dirichlet Boundary Conditions. Differ Equ Dyn Syst 29, 633–643 (2021). https://doi.org/10.1007/s12591-017-0379-1

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