English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This paper deals with the existence of solutions for the following differential equation: x″ (t) = f (t, x (t), x′ (t)), t ∈ (0,1), subject to the boundary conditions: x (0) = αx (ξ), x′ (1) = ∫0 1 x′ (s) d g (s), where α ≥ 0, < ξ < 1, f: [ 0,1 ] R2 → R is a continuous function, g: [ 0,1 ] → [ 0, ∞) is a nondecreasing function with g (0) = 0. Under the resonance condition g (1) = 1, some existence results are given for the boundary value problems. Our method is based upon the coincidence degree theory of Mawhin. We also give an example to illustrate our results. Copyright © 2011 Xiaojie Lin.

Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth