ON THE EXISTENCE OF CLASSICAL SOLUTION TO ONE-DIMENSIONAL FOURTH ORDER SEMILINEAR EQUATIONS
Keywords:
semilinear equations, mixed problem, classical solution.DOI:
https://doi.org/10.17654/0974324324009Abstract
In this paper, we prove the existence in small of classical solution of one-dimensional mixed problem for one class of fourth order semilinear Sobolev type equations by combining the generalized contracted mapping principle with Schauder’s fixed point principle.
Received: December 22, 2023
Accepted: February 6, 2024
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