Bilgisayar Bilimleri Fakültesi

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Browsing Bilgisayar Bilimleri Fakültesi by Subject "Boundary value problem"

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    Article
    Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales
    (NATURAL SCIENCES PUBLISHING CORP-NSPPO BOX 32038, ISA TOWN 00000, BAHRAIN, 2014) Dogan, Abdulkadir; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü; Dogan
    In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the sufficient conditions for the existence of countably many positive solutions are established.
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    Article
    On the existence of positive solutions for the second-order boundary value problem
    (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2015) Dogan, Abdulkadir; AGÜ, Mühendislik Fakültesi, Mühendislik Bilimleri Bölümü; Dogan, Abdulkadir
    This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.