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Showing 1 to 2 of 2 for “"Nonlinear boundary value problems"”.
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Degree Theory and Nonlinear Boundary Value Problems at Resonance
… solutions of ${\cal L}y$ = f satisfying linear boundary conditions on (a,b). The function f is an element of $L\sp1$ (a,b) Define BC = $\{y \in L\sp\infty$ (a,b): $y\sp\prime$ is absolutely continuous on (a,b), and y satisfies the boundary conditions$\}$. Assume the null space of L:BC $\to$ …
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Nontrivial solutions for nonlinear discrete boundary value problems of the fourth order
… of multiple nontrivial solutions for two nonlinear fourth order discrete boundary value problems. We first establish criteria for the existence of at least two nontrivial solutions of the problems and obtain conditions to guarantee that the two solutions are sign-changing. Under some …