Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance
From MaRDI portal
Publication:2449216
DOI10.1016/j.amc.2012.07.012zbMath1291.34053OpenAlexW2041100418MaRDI QIDQ2449216
Publication date: 7 May 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.07.012
topological degreefixed point indexcritical groupsign-changing solutionSturm-Liouville boundary value problem
Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20)
Related Items (4)
New results of positive solutions for the Sturm-Liouville problem ⋮ On the linear and nonlinear discrete second-order Neumann boundary value problems ⋮ Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters ⋮ Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign-changing and multiple solutions of the Sturm-Liouville boundary value problem via invariant sets of descending flow
- Multiple solutions of some boundary value problems with parameters
- Nontrivial solutions of singular superlinear Sturm--Liouville problems
- On sign-changing solutions for nonlinear operator equations
- Nontrivial solutions of singular sublinear Sturm--Liouville problems
- Existence and nonexistence of solutions of second-order nonlinear boundary value problems
- Sign-changing solutions to second-order integral boundary value problems
- Multiple sign-changing solutions to semilinear elliptic resonant problems
- Existence of sign-changing solutions for some asymptotically linear three-point boundary value problems
- Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian
- Multiplicity results for Sturm-Liouville boundary value problems
- Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
- Variational methods to Sturm-Liouville boundary value problem for impulsive differential equations
- Critical point theory and Hamiltonian systems
- Multiple positive solutions to second-order Neumann boundary value problems.
- New existence theorems of positive solutions for Sturm-Liouville boundary value problems
- Three positive solutions for second-order Neumann boundary value problems.
- Infinite dimensional Morse theory and multiple solution problems
- Generalization for Amann's and Leggett--Williams' three-solution theorems and applications
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Existence of solutions to a class of nonlinear second order two-point boundary value problems
- Multiple solutions for fourth-order boundary value problem
- An elliptic problem with jumping nonlinearities
- APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
- Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
This page was built for publication: Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance
