Abstract
We prove the existence of at least one nontrivial solution for a third-order boundary value problem with an integral condition under different growth assumptions on the nonlinearity in the equation. The main tool in the proofs is Schauder’s fixed point theorem. To compare the applicability of the obtained results, we consider some examples.
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Smirnov, S. Green’s function and existence of solutions for a third-order boundary value problem involving integral condition. Lith Math J 62, 509–518 (2022). https://doi.org/10.1007/s10986-022-09576-7
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DOI: https://doi.org/10.1007/s10986-022-09576-7