Geodesic
On a class of nonlinear integro-differential equations
Matematičeskie trudy, Tome 25 (2022) no. 1, pp. 192-220

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate a class of higher-order nonlinear integro-differential equations with noncompact monotone Hammerstein operator on the positive half-line. An existence theorem is proved for a nonnegative nontrivial solution in a certain Sobolev space. The asymptotic behavior of the solution at infinity is studied. At the end, we give specific examples of such equations. 
@article{MT_2022_25_1_a8,
     author = {Kh. A. Khachatryan and H. S. Petrosyan},
     title = {On a class of nonlinear integro-differential equations},
     journal = {Matemati\v{c}eskie trudy},
     pages = {192--220},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2022_25_1_a8/}
}
TY  - JOUR
AU  - Kh. A. Khachatryan
AU  - H. S. Petrosyan
TI  - On a class of nonlinear integro-differential equations
JO  - Matematičeskie trudy
PY  - 2022
SP  - 192
EP  - 220
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2022_25_1_a8/
LA  - ru
ID  - MT_2022_25_1_a8
ER  - 
%0 Journal Article
%A Kh. A. Khachatryan
%A H. S. Petrosyan
%T On a class of nonlinear integro-differential equations
%J Matematičeskie trudy
%D 2022
%P 192-220
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2022_25_1_a8/
%G ru
%F MT_2022_25_1_a8
Kh. A. Khachatryan; H. S. Petrosyan. On a class of nonlinear integro-differential equations. Matematičeskie trudy, Tome 25 (2022) no. 1, pp. 192-220. http://geodesic.mathdoc.fr/item/MT_2022_25_1_a8/