scholarly journals Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition

1991 ◽  
Vol 112 (1) ◽  
pp. 81-81 ◽  
Author(s):  
Manuel A. del Pino ◽  
Ra{úl F. Man{ásevich
Keyword(s):  
Boundary Value Problem ◽  
Fourth Order ◽  
Boundary Value ◽  
Nonresonance Condition ◽  
Two Parameter

scholarly journals Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem

2010 ◽  
Vol 2010 ◽  
pp. 1-19 ◽  
Author(s):  
Ruyun Ma ◽  
Chenghua Gao ◽  
Yongkui Chang
Keyword(s):  
Eigenvalue Problem ◽  
Boundary Value Problem ◽  
Fourth Order ◽  
Linear Problem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Linear Eigenvalue Problem ◽  
Existence And Multiplicity ◽  
Nonresonance Condition ◽  
Two Parameter

Leta,bbe two integers withb-a≥5and let𝕋2={a+2,a+3,…,b-2}. We show the existence of solutions for nonlinear fourth-order discrete boundary value problemΔ4u(t-2)=f(t,u(t),Δ2u(t-1)),t∈𝕋2,u(a+1)=u(b-1)=Δ2u(a)=Δ2u(b-2)=0under a nonresonance condition involving two-parameter linear eigenvalue problem. We also study the existence and multiplicity of solutions of nonlinear perturbation of a resonant linear problem.

Sign in / Sign up

Export Citation Format

Share Document