By using an abstract coincidence point theorem for sequentially weakly continuous maps the existence of at least one positive solution is obtained for a periodic second order boundary value problem with a reaction term involving the derivative of the solution u: the so called convention term. As a consequence of the main result also the existence of at least one positive solution is obtained for a parameter-depending problem.
Candito P., Livrea R. (2020). Existence Results for Periodic Boundary Value Problems with a Convenction Term. In S. Pinelas, J.R. Graef, S. Hilger, P. Kloeden, C. Schinas (a cura di), Differential and Difference Equations with Applications (pp. 593-602). Springer [10.1007/978-3-030-56323-3_43].
Existence Results for Periodic Boundary Value Problems with a Convenction Term
Livrea R.
2020-01-01
Abstract
By using an abstract coincidence point theorem for sequentially weakly continuous maps the existence of at least one positive solution is obtained for a periodic second order boundary value problem with a reaction term involving the derivative of the solution u: the so called convention term. As a consequence of the main result also the existence of at least one positive solution is obtained for a parameter-depending problem.
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