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Existence of solutions for some non‐Fredholm integro‐differential equations with the bi‐Laplacian

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We prove the existence of solutions for some semilinear elliptic equations in the appropriate H4 spaces using the fixed‐point technique where the elliptic equation contains fourth‐order differential operators with and… Click to show full abstract

We prove the existence of solutions for some semilinear elliptic equations in the appropriate H4 spaces using the fixed‐point technique where the elliptic equation contains fourth‐order differential operators with and without Fredholm property, generalizing the previous results.

Keywords: solutions non; integro differential; non fredholm; fredholm integro; differential equations; existence solutions

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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