Email this article Nonlinear Integral Equations with Potential-Type Kernels on a Segment
- Authors: Askhabov S.N.1
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Affiliations:
- Chechen State University
- Issue: Vol 235, No 4 (2018)
- Pages: 375-391
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242128
- DOI: https://doi.org/10.1007/s10958-018-4079-3
- ID: 242128
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Abstract
We study various classes of nonlinear equations containing operators of potential type (Riesz potential). By the method of monotone operators in the Lebesgue spaces of real-valued functions Lp(a, b) we prove global theorems on the existence, uniqueness, estimates, and methods of construction of their solutions. We present applications that illustrate the results obtained.
About the authors
S. N. Askhabov
Chechen State University
Author for correspondence.
Email: askhabov@yandex.ru
Russian Federation, Grozny
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