Existence results for nonlinear problems with $\varphi$- Laplacian operators and nonlocal boundary conditions
نویسندگان
چکیده
Using Leray-Schauder degree theory we study the existence of at least one solution for boundary value problem type\[\left\{\begin{array}{lll}(\varphi(u' ))' = f(t,u,u') & \\u'(0)=u(0), \ u'(T)= bu'(0), \quad \end{array}\right.\] where $\varphi: \mathbb{R}\rightarrow \mathbb{R}$ is a homeomorphism such that $\varphi(0)=0$, $f:\left[0, T\right]\times \mathbb{R} \times $ continuous function, $T$ positive real number, and $b$ some non zero number.
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2022
ISSN: ['0037-8712', '2175-1188']
DOI: https://doi.org/10.5269/bspm.41594