Doğan, Abdülkadir

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Profile URL
https://hdl.handle.net/20.500.12573/2780
Name Variants
Abdulkadir DOĞAN
Dogan, A.
Dogan, Abdulkadir
Doǧan, Abdülkadir Muhittin
Job Title
Doç. Dr.
Email Address
abdulkadir.dogan@agu.edu.tr
Main Affiliation
02.01. Mühendislik Bilimleri
Status
Current Staff
Website
ORCID ID
0000-0002-3195-4718
Scopus Author ID
Turkish CoHE Profile ID
60074
Google Scholar ID
WoS Researcher ID
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photo_5053_Abdulkadir_Dogan.jpeg (3.44 KB)

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Scholarly Output

21

Articles

20

Views / Downloads

392/4

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

63

Scopus Citation Count

86

WoS h-index

5

Scopus h-index

7

Patents

0

Projects

0

WoS Citations per Publication

3.00

Scopus Citations per Publication

4.10

Open Access Source

6

Supervised Theses

0

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JournalCount
Electronic Journal of Differential Equations5
Turkish Journal of Mathematics4
Mathematical Methods in the Applied Sciences2
Applied Mathematics Letters1
Asian-European Journal of Mathematics1
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Scholarly Output Search Results

Now showing 1 - 10 of 21
  • Thumbnail Image
    Article
    Citation - WoS: 17
    Citation - Scopus: 13
    Existence of Multiple Positive Solutions for P-Laplacian Multipoint Boundary Value Problems on Time Scales
    (Springeropen, 2013) Dogan, Abdulkadir
    In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results. MSC: 34B15, 34B16, 34B18, 39A10.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 9
    On the Existence of Positive Solutions of the P-Laplacian Dynamic Equations on Time Scales
    (Wiley, 2017) Dogan, Abdulkadir
    In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As an application, an example is included to demonstrate themain results. Copyright (C) 2017 John Wiley & Sons, Ltd.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Positive Solutions of Nonlinear Multi-Point Boundary Value Problems
    (Springer, 2018) Dogan, Abdulkadir
    This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution if f is nonnegative and continuous. Positive solutions of the above boundary value problem satisfy theHarnack inequality inf(0 <= t <= 1) u(t) >= gamma parallel to u parallel to(infinity.)
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    Article
    Positive Solutions of Multipoint Φ-Laplacian BVPS With First-Order Derivative Dependence
    (World Scientific, 2023) Bachouche, Kamal; Tair, Hocine; Doǧan, Abdülkadir Muhittin
    This paper concerns existence of positive solutions for a second-order boundary value problem of Sturm-Liouville type associated with a φ-Laplacian operator and posed on a bounded interval. Existence results are obtained by an adapted version of the Krasnosel'skii's fixed point theorem of cone expansion and compression. Some examples illustrate our results. © 2023 Elsevier B.V., All rights reserved.
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    Conference Object
    Citation - Scopus: 1
    On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals
    (Springer, 2020) Doǧan, Abdülkadir Muhittin
    This paper investigates the existence of positive solutions to time-scale boundary value problems on infinite intervals. By applying the Leggett-Williams fixed point theorem in a cone, some new results for the existence of at least three positive solutions of boundary value problems are found. With infinite intervals, the theorem can be used to prove the existence of solutions of boundary value problems for nonlinear dynamic equations dependence on the delta derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting. © 2020 Elsevier B.V., All rights reserved.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 3
    On the Existence of Positive Solutions for the One-Dimensional P-Laplacian Boundary Value Problems on Time Scales
    (Dynamic Publishers, inc, 2015) Dogan, Abdulkadir
    In this paper, we study the following p-Laplacian boundary value problems on time scales {(phi(p)(u(Delta)(t)))(del) + a(t)f(t, u(t), u(Delta)(t)) = 0, t is an element of [0,T](T), u(0) - B-0(u(Delta)(0)) = 0, u(Delta)(T) = 0, where phi(p)(u) = vertical bar u vertical bar(p-2)u, for p > 1. We prove the existence of triple positive solutions for the one-dimensional p-Laplacian boundary value problem by using the Leggett-Williams fixed point theorem. The interesting point in this paper is that the non-linear term f is involved with first-order derivative explicitly. An example is also given to illustrate the main result.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Existence Results for a Class of Boundary Value Problems for Fractional Differential Equations
    (Tubitak Scientific & Technological Research Council Turkey, 2021) Dogan, Abdulkadir
    By application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of fractional differential equations. This paper is motivated by Agarwal et al. (Georgian Math. J. 16 (2009) No.3, 401-411).
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Triple Positive Solutions of M-Point Boundary Value Problem on Time Scales With P-Laplacian
    (Iranian Mathematical Soc, 2017) Dogan, A.
    In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term f involves a first-order derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting.
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    Article
    Citation - WoS: 9
    Citation - Scopus: 12
    Positive Solutions of the P-Laplacian Dynamic Equations on Time Scales With Sign Changing Nonlinearity
    (Texas State Univ, 2018) Dogan, Abdulkadir
    This article concerns the existence of positive solutions for p-Laplacian boundary value problem on time scales. By applying fixed point index we obtain the existence of solutions. Emphasis is put on the fact that the nonlinear term is allowed to change sign. An example illustrates our results.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 10
    Existence of Three Positive Solutions for an M-Point Boundary-Value Problem on Time Scales
    (Texas State Univ, 2013) Dogan, Abdulkadir
    We study an m-point boundary-value problem on times scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An example is given to illustrate our results.