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This paper deals with the second-order differential equation (p(t)x'(t))'+g(t)f(t,x(t),x'(t))=0, a.e.in(0,∞)with the boundary conditions ∞x(0)= g(s)x(s)ds, lim p(t)x'(t) = 0,0 t→∞∞where g ∈ L1 [0,∞) with g(t) > 0 on [0,∞) and g(s)ds = 1, f isa g-0Carath´eodory function. By applying the coincidence degree theory, the existence of at least one solution is obtained.
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참고문헌 (13)
참고문헌 신청
A. Ya / / Positive solutions of multi-point boundary value problems with multivalued operators at resonance / J. Appl. Math. Comput.
A. Yang / 2009 / Existence of symmetric solutions for a fourth-order multi-point boundary value problem with a p-Laplacian at resonance / J. Appl. Math. Comput. 29 (1) : 301
A. Yang / 2009 / Solvability for second-order nonlocal boundary value problems with a p-Laplacian at resonance on a half-line / Elec. J. Qual. Theo. Diff. Equa. 15 : 1 ~ 15
B. Yan / 2001 / Boundary value problems on the half-line with impulse and infinite delay / J. Math. Anal. Appl. 259 : 94 ~ 114
D. Jiang / 2002 / A uniqueness and existence theorem for a singular third-order boundary value problem on [0;∞) / Appl. Math. Lett. 15 : 445 ~ 451
A. Yang / 2009 / Existence of symmetric solutions for a fourth-order multi-point boundary value problem with a p-Laplacian at resonance / J. Appl. Math. Comput. 29 (1) : 301
A. Yang / 2009 / Solvability for second-order nonlocal boundary value problems with a p-Laplacian at resonance on a half-line / Elec. J. Qual. Theo. Diff. Equa. 15 : 1 ~ 15
B. Yan / 2001 / Boundary value problems on the half-line with impulse and infinite delay / J. Math. Anal. Appl. 259 : 94 ~ 114
D. Jiang / 2002 / A uniqueness and existence theorem for a singular third-order boundary value problem on [0;∞) / Appl. Math. Lett. 15 : 445 ~ 451
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