On solvability of boundary value problem for asymmetric differential equation depending on x ′

We state the conditions of geometrical nature which guarantee the existence of a solution to the boundary value problem x ′′ + 2δx ′ + λf (x + ) − µg(x −) = h(t, x, x ′ ), x(0) = 0 = x(1) with a damping term 2δx ′ and nonnegative parameters λ, µ, provided that f (x +) − g(x −) is a sector-bounded n...

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Bibliographic Details
Main Authors: Armands Gritsans, Felix Sadyrbaev
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2013-04-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4106