DOAJ Open Access 2024

Singularly perturbed integro-differential equations with degenerate Hammerstein’s kernel

M.A. Bobodzhanova B.T. Kalimbetov V.F. Safonov

Abstrak

Singularly perturbed integro-differential equations with degenerate kernels are considered. It is shown that in the linear case these problems are always uniquely solvable with continuous coefficients, while nonlinear problems either have no real solutions at all or have several of them. For linear problems, the results of Bobojanova are refined; in particular, necessary and sufficient conditions are given for the existence of a finite limit of their solutions as the small parameter tends to zero and sufficient conditions under which the passage to the limit to the solution of the degenerate equation is possible.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

M.A. Bobodzhanova

B.T. Kalimbetov

V.F. Safonov

Format Sitasi

APA MLA BibTeX

Bobodzhanova, M., Kalimbetov, B., Safonov, V. (2024). Singularly perturbed integro-differential equations with degenerate Hammerstein’s kernel. https://doi.org/10.31489/2024m4/57-68

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m4/57-68
Akses: Open Access ✓