The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions
DOI10.1007/s12591-018-0428-4zbMath1497.34050OpenAlexW2886650428WikidataQ115376441 ScholiaQ115376441MaRDI QIDQ2121649
Huihui Pang, Yuke Zhu, Mengyan Cui
Publication date: 4 April 2022
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12591-018-0428-4
impulsive differential equationintegral boundary conditionLeray-Schäuder degreelower (upper)solution
Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37)
Related Items
Cites Work
- Unnamed Item
- Multiple positive solutions for a second-order boundary value problem with integral boundary conditions
- New results of positive solutions for the Sturm-Liouville problem
- Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms
- Nagumo type existence results of Sturm-Liouville BVP for impulsive differential equations
- Positive solutions for a class of nonlocal impulsive BVPs via fixed point index
- Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
- On the structure of solutions of an equation in catalysis theory when a parameter is large
- Nontrivial solutions of singular sublinear Sturm--Liouville problems
- Study on the generalized \((p,q)\)-Laplacian elliptic systems, parabolic systems and integro-differential systems
- A multiplicity result for a singular generalized Sturm-Liouville boundary value problem
- On the number of solutions of two classes of Sturm-Liouville boundary value problems
- On the positive solutions for semilinear elliptic equations on annular domain with non-homogeneous Dirichlet boundary condition
- New existence theorems of positive solutions for Sturm-Liouville boundary value problems
- The existence of positive solutions for the Sturm-Liouville boundary value problems.
- Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions
- Positive solutions of sub-superlinear Sturm-Liouville problems
- New result for a class of impulsive differential equation with integral boundary conditions
- Positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations
- Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations
- Stabilization of solutions of a degenerate nonlinear diffusion problem
- Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
- AN UNEXPECTED STABILITY RESULT OF THE NEAR-EXTINCTION DIFFUSION FLAME FOR NON-UNITY LEWIS NUMBERS
- Solutions of a Differential Equation Arising in Chemical Reactor Processes
- Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory
- Multiple nonnegative solutions for second order impulsive differential equations.