Darshana Devi, Duranta Chutia, Rajib Haloi
Abstract:
We consider a semi-linear differential equation of parabolic type with deviating
arguments in a Banach space with uniformly convex dual, and apply
Rothe's method to establish the existence and uniqueness of a strong solution.
We also include an example as an application of the main result.
Submitted October 23, 2020. Published December 10, 2020.
Math Subject Classifications: 34G20, 34K30, 35D35, 35K58.
Key Words: Strong solution; deviating argument; semigroup of bounded linear operators;
semidiscretization method
DOI: 10.58997/ejde.2020.120
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Darshana Devi Department of Mathematical Sciences Tezpur University Sonitpur, Assam, Pin 784028, India email: darsana.mou@gmail.com |
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Duranta Chutia Department of Mathematical Sciences Tezpur University Sonitpur, Assam, Pin 784028, India email: durantachutia123@gmail.com |
| Rajib Haloi Department of Mathematical Sciences Tezpur University, Sonitpur Assam, Pin 784028, India email: rajib.haloi@gmail.com, phone +913712-275511, fax +913712-267006 |
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