On the existence of solutions for a class of nonlinear fully fourth-order differential systems
DOI:
https://doi.org/10.22199/issn.0717-6279-5813Keywords:
Fully fourth-order boundary value problem, fixed point, sum of operators, positive solution, coneAbstract
This paper discusses the existence of solutions to fourth order nonlinear boundary value problem involving systems of differential equations and two point boundary conditions. The nonlinearity f ∈ C ([0,1] × Rn+ × Rn × Rn × Rn, Rn)considered in this paper includes derivatives up to order three. Using recent fixed point results for the sum of two operators, we impose a growth condition on f to establish a new existence criteria that ensure the existence of at least one and the existence of at least two nonnegative solutions.
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Copyright (c) 2024 Lydia Bouchal, Karima Mebarki, Svetlin Georgiev Georgiev
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