Nontrivial solutions for higher-order \(m\)-point boundary value problem with a sign-changing nonlinear term
From MaRDI portal
Publication:618060
DOI10.1016/j.amc.2010.09.038zbMath1215.34020OpenAlexW1994841123MaRDI QIDQ618060
Bingmei Liu, Li Shan Liu, Yong-Hong Wu
Publication date: 14 January 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.038
eigenvaluesingularitytopological degreehigher-order boundary value problemsign-changing nonlinearity\(m\)-point
Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items
Positive solutions of singular beam equations with the bending term ⋮ Global structure of positive solutions for some second-order multipoint boundary value problems ⋮ Exact interval of parameter and two infinite families of positive solutions for a \(n\)th order impulsive singular equation ⋮ Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity ⋮ Positive solutions to one-dimensional quasilinear impulsive indefinite boundary value problems ⋮ Existence of positive solutions for a nonlinear higher-order multipoint boundary value problem ⋮ Nontrivial solutions for a boundary value problem with integral boundary conditions ⋮ Solutions for integral boundary value problems of nonlinear Hadamard fractional differential equations ⋮ On the effective reducibility of a class of quasi-periodic linear Hamiltonian systems close to constant coefficients ⋮ Positive solutions for higher-order singular fractional differential system with coupled integral boundary conditions ⋮ Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function ⋮ Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives ⋮ Nontrivial solutions for a higher order nonlinear fractional boundary value problem involving Riemann-Liouville fractional derivatives ⋮ Nontrivial solutions to boundary value problem with general singular differential operator
Cites Work
- Unnamed Item
- Nontrivial solutions of singular superlinear Sturm--Liouville problems
- Positive solutions to a multi-point higher order boundary value problem
- Nontrivial solutions of singular two-point boundary value problems with sign-changing nonlinear terms
- A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems
- Positive solutions for singular second order three-point boundary value problems
- Three positive solutions for higher order \(m\)-point boundary value problems.
- Generalized approximations and rapid convergence of solutions of \(m\)-point boundary value problems
- Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
- Positive solutions of two-point boundary value problems for 2\(n\)-order differential equations dependent on all derivatives
- On the existence of positive solutions for 2\(n\)-order singular boundary value problems
- Nontrivial solutions of \(m\)-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear term