Hammerstein–Nemytskii Type Nonlinear Integral Equations on Half-line in Space
Aghavard Kh. Khachatryan; Khachatur A. Khachatryan
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2013)
- Volume: 52, Issue: 1, page 89-100
- ISSN: 0231-9721
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topKhachatryan, Aghavard Kh., and Khachatryan, Khachatur A.. "Hammerstein–Nemytskii Type Nonlinear Integral Equations on Half-line in Space $L_1(0,+\infty )\cap L_{\infty }(0,+\infty )$." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 52.1 (2013): 89-100. <http://eudml.org/doc/260587>.
@article{Khachatryan2013,
abstract = {The paper studies a construction of nontrivial solution for a class of Hammerstein–Nemytskii type nonlinear integral equations on half-line with noncompact Hammerstein integral operator, which belongs to space $L_1(0,+\infty )\cap L_\{\infty \}(0,+\infty )$. This class of equations is the natural generalization of Wiener-Hopf type conservative integral equations. Examples are given to illustrate the results. For one type of considering equations continuity and uniqueness of the solution is established.},
author = {Khachatryan, Aghavard Kh., Khachatryan, Khachatur A.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Wiener–Hopf operator; Hammerstein–Nemytskii equation; Caratheodory condition; one-parameter family of positive solutions; iteration; monotonic increasing and bounded solution; Wiener-Hopf operator; Hammerstein-Nemytskii equation; nonlinear integral equations; noncompact integral operator},
language = {eng},
number = {1},
pages = {89-100},
publisher = {Palacký University Olomouc},
title = {Hammerstein–Nemytskii Type Nonlinear Integral Equations on Half-line in Space $L_1(0,+\infty )\cap L_\{\infty \}(0,+\infty )$},
url = {http://eudml.org/doc/260587},
volume = {52},
year = {2013},
}
TY - JOUR
AU - Khachatryan, Aghavard Kh.
AU - Khachatryan, Khachatur A.
TI - Hammerstein–Nemytskii Type Nonlinear Integral Equations on Half-line in Space $L_1(0,+\infty )\cap L_{\infty }(0,+\infty )$
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2013
PB - Palacký University Olomouc
VL - 52
IS - 1
SP - 89
EP - 100
AB - The paper studies a construction of nontrivial solution for a class of Hammerstein–Nemytskii type nonlinear integral equations on half-line with noncompact Hammerstein integral operator, which belongs to space $L_1(0,+\infty )\cap L_{\infty }(0,+\infty )$. This class of equations is the natural generalization of Wiener-Hopf type conservative integral equations. Examples are given to illustrate the results. For one type of considering equations continuity and uniqueness of the solution is established.
LA - eng
KW - Wiener–Hopf operator; Hammerstein–Nemytskii equation; Caratheodory condition; one-parameter family of positive solutions; iteration; monotonic increasing and bounded solution; Wiener-Hopf operator; Hammerstein-Nemytskii equation; nonlinear integral equations; noncompact integral operator
UR - http://eudml.org/doc/260587
ER -
References
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