Multiple solutions of boundary value problems on time scales for φ-laplacian operator

• Autorzy: Amster Pablo , Kuna Mariel Paula , Santos Dionicio Pastor

Identyfikatory

DOI

10.7494/OpMath.2020.40.4.405

• Języki publikacji: EN

Abstrakty

EN

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a y-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree. The results extend and improve known results for analogous problems with discrete p-Laplacian as well as those for boundary value problems on time scales.

Słowa kluczowe

EN

dynamic equations on time scales; nonlinear boundary value problems; upper and lower solutions; Leray-Schauder degree; multiple solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 4
• Strony: 405--425
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Amster Pablo

• Universidad de Buenos Aires & IMAS-CONICET Facultad de Ciencias Exactas y Naturales Departamento de Matematica Ciudad Universitaria, Pabellón I, Buenos Aires (1428), Argentina

autor

Kuna Mariel Paula

• Universidad de Buenos Aires & IMAS-CONICET Facultad de Ciencias Exactas y Naturales Departamento de Matematica Ciudad Universitaria, Pabellón I, Buenos Aires (1428), Argentina

autor

Santos Dionicio Pastor

• Universidad de Buenos Aires & IMAS-CONICET Facultad de Ciencias Exactas y Naturales Departamento de Matematica Ciudad Universitaria, Pabellón I, Buenos Aires (1428), Argentina

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).