On a third-order boundary value problem at resonance on the half-line
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In this paper, we establish existence of solutions for the following boundary value problem on the
half-line: (q(t)u��
(t))
� = g(t, u(t), u�
(t), u��
(t)), t ∈ (0,∞) subject to the boundary conditions u�
(0) =
�m
i=1 αi � ξi
0 u(t)dt, u(0) = 0, limt→∞ q(t)u��
(t) = 0. We establish sufficient conditions for the existence of
at least one solution using coincidence degree arguments. An example is provided to validate our result.
Keywords
Q Science (General), QA Mathematics