Abstract
By using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the existence of solutions for a third-order functional boundary value problem at resonance with operatorname{dim } operatorname{Ker}L=1.
Highlights
1 Introduction A boundary value problem is said to be at resonance if the corresponding homogeneous boundary value problem has a non-trivial solution
Boundary value problems at resonance have been studied by many authors
In [ ], Jiang and Kosmatov Boundary Value Problems (2017) 2017:81 the authors extended the results of [ ] as well as [, ] in several respects including the study of the case ker L = {c(at + b) : c ∈ R}, where a, b =
Summary
A boundary value problem is said to be at resonance if the corresponding homogeneous boundary value problem has a non-trivial solution. In [ ], Jiang and Kosmatov Boundary Value Problems (2017) 2017:81 the authors extended the results of [ ] as well as [ , ] in several respects including the study of the case ker L = {c(at + b) : c ∈ R}, where a, b = .
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