Next Article in Journal
Gradation of Fuzzy Preconcept Lattices
Previous Article in Journal
Existence of Coupled Best Proximity Points of p-Cyclic Contractions
Article

Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity

1
Department of Higher Mathematics, National Research University “MPEI”, Krasnokazarmennaya 14, 111250 Moscow, Russia
2
Department of Mathematics, Khoja Ahmet Yasawi International Kazakh-Turkish University, B. Sattarkhanov 29, Turkestan 161200, Kazakhstan
*
Author to whom correspondence should be addressed.
Academic Editors: Valery Y. Glizer and Florin Felix Nichita
Received: 18 January 2021 / Revised: 15 March 2021 / Accepted: 16 March 2021 / Published: 22 March 2021
In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator with a slowly varying kernel. Differential equations of this type and integro-differential equations with slowly varying inhomogeneity and with a rapidly oscillating coefficient at an unknown function are studied. The main goal of this work is to generalize the Lomov’s regularization method and to reveal the influence of the rapidly oscillating right-hand side on the asymptotics of the solution to the original problem. View Full-Text
Keywords: singular perturbation; integro-differential equation; regularization; rapidly oscillating inhomogeneity; asymptotic convergence; resonant exhibitors singular perturbation; integro-differential equation; regularization; rapidly oscillating inhomogeneity; asymptotic convergence; resonant exhibitors
MDPI and ACS Style

Bobodzhanov, A.; Kalimbetov, B.; Safonov, V. Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity. Axioms 2021, 10, 40. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010040

AMA Style

Bobodzhanov A, Kalimbetov B, Safonov V. Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity. Axioms. 2021; 10(1):40. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010040

Chicago/Turabian Style

Bobodzhanov, Abdukhafiz, Burkhan Kalimbetov, and Valeriy Safonov. 2021. "Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity" Axioms 10, no. 1: 40. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010040

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop