We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On nonlinear convolution-type integral equations in the theory of -adic strings.
- Authors
Khachatryan, A. Kh.; Khachatryan, Kh. A.; Petrosyan, H. S.
- Abstract
We study a class of integral equations of convolution type on the whole line with a monotone and odd nonlinearity. We prove constructive existence and absence theorems for nonnegative (nontrivial) and bounded solutions. We study the asymptotic behavior of the constructed solution at . We also prove the uniqueness of the solution in the class of nonnegative (nonzero) and bounded functions and present specific examples of this class of equations that can be applied in various fields of mathematical physics.
- Subjects
STRING theory; MATHEMATICAL physics; EXISTENCE theorems; NONLINEAR integral equations; VOLTERRA equations; EQUATIONS; INTEGRAL equations
- Publication
Theoretical & Mathematical Physics, 2023, Vol 216, Issue 1, p1068
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577923070127