Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition
Applications of Mathematics, Tome 57 (2012) no. 3, pp. 297-307
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The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
DOI :
10.1007/s10492-012-0017-8
Classification :
34K30, 45B05, 45D05, 45G10, 45J05, 45N05, 47D09, 47G20
Keywords: global existence; Volterra-Fredholm integrodifferential equation; Leray-Schauder alternative; nonlocal condition; nonlinear; mild solutions
Keywords: global existence; Volterra-Fredholm integrodifferential equation; Leray-Schauder alternative; nonlocal condition; nonlinear; mild solutions
@article{10_1007_s10492_012_0017_8,
author = {Tidke, Haribhau L. and Dhakne, Machindra B.},
title = {Nonlinear mixed {Volterra-Fredholm} integrodifferential equation with nonlocal condition},
journal = {Applications of Mathematics},
pages = {297--307},
publisher = {mathdoc},
volume = {57},
number = {3},
year = {2012},
doi = {10.1007/s10492-012-0017-8},
mrnumber = {2984604},
zbl = {1265.45012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0017-8/}
}
TY - JOUR AU - Tidke, Haribhau L. AU - Dhakne, Machindra B. TI - Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition JO - Applications of Mathematics PY - 2012 SP - 297 EP - 307 VL - 57 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0017-8/ DO - 10.1007/s10492-012-0017-8 LA - en ID - 10_1007_s10492_012_0017_8 ER -
%0 Journal Article %A Tidke, Haribhau L. %A Dhakne, Machindra B. %T Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition %J Applications of Mathematics %D 2012 %P 297-307 %V 57 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0017-8/ %R 10.1007/s10492-012-0017-8 %G en %F 10_1007_s10492_012_0017_8
Tidke, Haribhau L.; Dhakne, Machindra B. Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition. Applications of Mathematics, Tome 57 (2012) no. 3, pp. 297-307. doi: 10.1007/s10492-012-0017-8
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