Weakly Perturbed Integral Equations
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DOI: 10.1007/s10958-017-3348-x
Abstract: We establish conditions for the bifurcation of the solutions of weakly perturbed linear integral equations. read more here.
Keywords: perturbed integral; integral equations; weakly perturbed;
Regularized asymptotic solutions of singularly perturbed integral equations with a higher-order diagonal degeneration of the kernel and the initialization problem
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations"
DOI: 10.1134/s0012266117020082
Abstract: An algorithm of the regularization method is developed for singularly perturbed integral equations with a higher-order diagonal degeneration of the kernel. The leading term of the asymptotics is analyzed to solve the problem of initialization… read more here.
Keywords: singularly perturbed; perturbed integral; integral equations; higher order ... See more keywords
Regularized Asymptotic Solutions of Singularly Perturbed Integral Equations with Two Independent Variables
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DOI: 10.1134/s0012266119020101
Abstract: Lomov’s regularization method is generalized to singularly perturbed integral equations with one-fold and multiple integral operators. We consider the case in which the kernel of the one-fold integral only depends on the time variable and… read more here.
Keywords: integral equations; singularly perturbed; regularized asymptotic; perturbed integral ... See more keywords