Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales
Makaleler > Tam Makale · 2013
Yazarlar: Fatma Tokmak, İlkay KARACA
Boundary Value Problems, Uluslararası, Wos, 2013, cilt 2013
DOI: 10.1186/1687-2770-2013-52
Özet
In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m -point boundary value problem on time scales such that the considered equation admits a nonlinear term f whose sign is allowed to change. The discussed problem involves both an increasing homeomorphism and homomorphism, which generalizes the p -Laplacian operator. An example which supports our theoretical results is also indicated. MSC: 34B10, 39A10.