Positive solutions of the  conjugate boundary value problem.

Yang, Bo

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The paper deals with the boundary value problem $u^{''} + k u = g (u) + e (t), u (0) = u (2 π), u^{'} (0) = u^{'} (2 π),$ where $k \in ℝ$ , $g I \mapsto ℝ$ is continuous, $e \in 𝕃 J$ and ${lim}_{x \to 0 +} \int_{x}^{1} g (s) d s = \infty .$ In particular, the existence and multiplicity results are obtained by using the method of lower and upper functions which are constructed as solutions of related auxiliary linear problems.

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Displaying similar documents to “Positive solutions of the ( n - 1 , 1 ) conjugate boundary value problem.”

Displaying similar documents to “Positive solutions of the $(n - 1, 1)$ conjugate boundary value problem.”