NONLINEAR SINGULARLY PERTURBED INTEGRO-DIFFERENTIAL EQUATIONS WITH A ZERO OPERATOR OF THE DIFFERENTIAL PART AND EXPONENTIALLY OSCILLATING INHOMOGENEITY

2025

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DOI 10.12732/ijam.v38i4.3
Data confidence 70 medium
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Abstract

In this paper, we consider a nonlinear integro-differential problem with a zero operator of the differential part, the integral operator of which contains a rapidly changing kernel, and the right-hand side depends on a rapidly oscillating exponent.This work is a continuation of the research carried out earlier for a similar linear system with a rapidly changing kernel.In the nonlinear case, the conditions for the solvability of the