On the existence of multiple solutions for a nonlocal BVP with vector-valued response

Andrzej Nowakowski; Aleksandra Orpel

Displaying similar documents to “On the existence of multiple solutions for a nonlocal BVP with vector-valued response”

On the correct formulation of a nonlinear differential equation in Banach spaces.

El-Borai, Mahmoud M., Moustafa, Osama L., Michael, Fayez H. (2001)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On Lyapunov-type inequalities for two-dimensional nonlinear partial systems.

Chen, Lian-Ying, Zhao, Chang-Jian, Cheung, Wing-Sum (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

Czechoslovak Mathematical Journal

Similarity:

Existence results are established for the resonant problem $y^{''} + λ_{m} a y = f (t, y)$ a.e. on $[0, 1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a \in L_{l o c}^{1} (0, 1)$ with $a > 0$ a.e. on $[0, 1]$ and $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .