We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
PERIODIC SOLUTIONS OF A SECOND-ORDER NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION.
- Authors
Alymbaev, A. T.; Kyzy, A. Bapa; Sharshembieva, F. K.
- Abstract
The article considers the problem of constructing a 2π-periodic solution of a quasilinear second-order integro-differential equation. Using the Green's function of bounded solutions on the number line, the integro-differential equation is reduced to an integral equation. A 2π-periodic solution to the integral equation is found using the projection-iteration method. A 2π-periodic solution is sought as the limit of successive 2π-periodic functions representable as a Fourier series. An estimate of the error of the difference between the exact and approximate solutions is obtained.
- Subjects
VOLTERRA equations; GREEN'S functions; INTEGRAL equations; INTEGRO-differential equations; FOURIER series
- Publication
Advances in Differential Equations & Control Processes, 2024, Vol 31, Issue 2, p285
- ISSN
0974-3243
- Publication type
Article
- DOI
10.17654/0974324324015