Some higher-order multi-point boundary value problem at resonance
By Zengji Du, Xiaojie Lin, W. Ge. 2005
57 citations recorded by the source corpus.
This paper deals with the existence of solutions for the following nth order multi-point boundary value problem at resonance x(n)(t) = f(t, x(t), x'(t),..., x(n-1)(t)) + e(t), t ∈ (0, 1), x(0) = Σi=1m-2 αix(ξi), x'(0) =...= x(n-2) (0) = 0, x(1) = x(η), where f : [0, 1] × Rn → R is a continuous function, e ∈ L1[0, 1], αi ∈ R(1 ≤ i ≤ m - 2), 0 < ξ1 < ξ2 < ... < ξm-2 < 1 and 0 < ξ < 1. An existence theorem is obtained by using the coincidence degree theory of Mawhin.
Subfields: Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e33d627e411570dedb205344a467b3877fcd9f98
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Numerical Analysis
Citations in the corpus
- Existence of Solutions for Fractional Differential Equations with Multi-point Boundary Conditions at Resonance on a Half-line (2011, background): “Boundary value problems for differential equations of integer order at resonance have been studied by many authors (see [3, 4, 5, 6, 7, 12, 13, 14, 22, 23, 24, 26, 27] and references cited therein).”
- Singular perturbations for third-order nonlinear multi-point boundary value problem (2005, background): “For some existence results of multi-point or nonlinear boundary value problems, we refer the reader to [1–4,6,8].”