6533b85efe1ef96bd12c0938

RESEARCH PRODUCT

Existence Results for Periodic Boundary Value Problems with a Convenction Term

Pasquale CanditoRoberto Livrea

subject

Settore MAT/05 - Analisi MatematicaMathematical analysisOrder (ring theory)Coincidence pointsDerivativeBoundary value problemCoincidence pointPeriodic BVP Positive solutionTerm (time)Mathematics

description

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 \(u'\) 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.

https://doi.org/10.1007/978-3-030-56323-3_43