Research Article

On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations

Volume: 40 Number: 1 March 22, 2019
İsmet Gölgeleyen , Mustafa Yıldız *
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On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations

Abstract

In this work, we deal with an ill-posed boundary value problem for multidimensional second-order evolution equations with variable coefficients. By using the given data, we reduce the problem to a functional equation and we obtain a new representation for the solution by means of the Hurwitz formula.

Keywords

Second-order evolution equation,ill-posed problem,functional equation,Hurwitz's formula

References

  1. [1]. Anikonov, Yu. E., Neshchadim, M. V. Representations for the Solutions and Coefficients of Second-Order Differential Equations, Journal of Applied and Industrial Mathematics, 7 (1):15-21, 2013.
  2. [2]. Markushevich, A. I. Introduction to the classical theory of Abelian functions, Translations of Mathematical Monographs, 96, American Mathematical Society, Providence, R. I., 1992.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

İsmet Gölgeleyen This is me
0000-0002-3602-7219
Türkiye

Publication Date

March 22, 2019

Submission Date

October 30, 2018

Acceptance Date

February 23, 2019

Published in Issue

Year 2019 Volume: 40 Number: 1

DOI

https://doi.org/10.17776/csj.476495

IZ

https://izlik.org/JA39BH34MY

Cite

RIS / Bibtex
APA
Gölgeleyen, İ., & Yıldız, M. (2019). On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. Cumhuriyet Science Journal, 40(1), 173-178. https://doi.org/10.17776/csj.476495
AMA
1.Gölgeleyen İ, Yıldız M. On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. CSJ. 2019;40(1):173-178. doi:10.17776/csj.476495
Chicago
Gölgeleyen, İsmet, and Mustafa Yıldız. 2019. “On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations”. Cumhuriyet Science Journal 40 (1): 173-78. https://doi.org/10.17776/csj.476495.
EndNote
Gölgeleyen İ, Yıldız M (March 1, 2019) On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. Cumhuriyet Science Journal 40 1 173–178.
IEEE
[1]İ. Gölgeleyen and M. Yıldız, “On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations”, CSJ, vol. 40, no. 1, pp. 173–178, Mar. 2019, doi: 10.17776/csj.476495.
ISNAD
Gölgeleyen, İsmet - Yıldız, Mustafa. “On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations”. Cumhuriyet Science Journal 40/1 (March 1, 2019): 173-178. https://doi.org/10.17776/csj.476495.
JAMA
1.Gölgeleyen İ, Yıldız M. On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. CSJ. 2019;40:173–178.
MLA
Gölgeleyen, İsmet, and Mustafa Yıldız. “On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations”. Cumhuriyet Science Journal, vol. 40, no. 1, Mar. 2019, pp. 173-8, doi:10.17776/csj.476495.
Vancouver
1.İsmet Gölgeleyen, Mustafa Yıldız. On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. CSJ. 2019 Mar. 1;40(1):173-8. doi:10.17776/csj.476495

Cited By

Solvability of an Inverse Problem for an Elliptic-Type Equation

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