Solvability of Three-Point Boundary Value Problems at Resonance with ap -Laplacian on Finite and Infinite Intervals
Author(s) -
Hairong Lian,
Patricia J. Y. Wong,
Shu Yang
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/658010
Subject(s) - mathematics , boundary value problem , boundary (topology) , value (mathematics) , order (exchange) , combinatorics , mathematical analysis , statistics , finance , economics
Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly
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