Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions
Date
2019
Authors
Alsaedi, Ahmed
Alsulami, Mona
Srivastava, H. M.
Ahmad, Bashir
Ntouyas, Sotiris K.
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
We investigate the solvability and Ulam stability for a nonlocal nonlinear third-order integro-multi-point boundary value problem on an arbitrary domain. The nonlinearity in the third-order ordinary differential equation involves the unknown function together with its first- and second-order derivatives. Our main results rely on the modern tools of functional analysis and are well illustrated with the aid of examples. An analogue problem involving non-separated integro-multi-point boundary conditions is also discussed.
Description
Keywords
nonlinear boundary value problem, nonlocal, multi-point, multi-strip, existence, Ulam stability
Citation
Alsaedi, A., Alsulami, M., Srivastava, H.M., Ahmad, B. & Ntouyas, S.K. (2019). Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions. Symmetry, 11(2), 281. https://doi.org/10.3390/sym11020281