Next Article in Journal
An Improved Criterion for the Oscillation of Fourth-Order Differential Equations
Previous Article in Journal
Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator
Previous Article in Special Issue
Inverse Problems for Degenerate Fractional Integro-Differential Equations
Open AccessArticle

Nonlocal Integro-Differential Equations of the Second Order with Degeneration

Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, 4 Acad. Koptyug Avenue, 630090 Novosibirsk, Russia
Mathematics 2020, 8(4), 606; https://doi.org/10.3390/math8040606
Received: 22 February 2020 / Revised: 30 March 2020 / Accepted: 13 April 2020 / Published: 16 April 2020
(This article belongs to the Special Issue Direct and Inverse Problems for Fractional Differential Equations)
We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable. The possibility of degeneration in the equations under consideration means that the statements of the corresponding boundary value problems have to change depending on the nature of the degeneration, while the nonlocality in the equations implies that the boundary conditions will also have a nonlocal form. For the problems under study, the paper provides conditions that ensure their well-posedness. View Full-Text
Keywords: integro-differential equation; degeneration; boundary value problem; non-local conditions; well-posedness integro-differential equation; degeneration; boundary value problem; non-local conditions; well-posedness
MDPI and ACS Style

Kozhanov, A.I. Nonlocal Integro-Differential Equations of the Second Order with Degeneration. Mathematics 2020, 8, 606.

Show more citation formats Show less citations formats
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
Search more from Scilit
 
Search
Back to TopTop