TY - JOUR
T1 - On the existence of solutions for strongly nonlinear differential equations
AU - Al-Khaled, Kamel
AU - Hajji, Mohamed Ali
PY - 2008/8/15
Y1 - 2008/8/15
N2 - The objectives of this paper are twofold. Firstly, to prove the existence of an approximate solution in the mean for some nonlinear differential equations, we also investigate the behavior of the class of solutions which may be associated with the differential equation. Secondly, we aim to implement the homotopy perturbation method (HPM) to find analytic solutions for strongly nonlinear differential equations.
AB - The objectives of this paper are twofold. Firstly, to prove the existence of an approximate solution in the mean for some nonlinear differential equations, we also investigate the behavior of the class of solutions which may be associated with the differential equation. Secondly, we aim to implement the homotopy perturbation method (HPM) to find analytic solutions for strongly nonlinear differential equations.
KW - Approximate solutions
KW - Existence of solutions
KW - Homotopy perturbation method
KW - Nonlinear differential equations
KW - Periodic solutions
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U2 - 10.1016/j.jmaa.2008.03.022
DO - 10.1016/j.jmaa.2008.03.022
M3 - Article
AN - SCOPUS:43449136151
SN - 0022-247X
VL - 344
SP - 1165
EP - 1175
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -