Research Article

Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations

Number: 29 December 30, 2019
EN

Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations

Abstract

In this work, we considered a system of higher-order Kirchhoff type equations with initial and boundary conditions in a bounded domain. Under suitable conditions, we proved an energy decay result by Nakao's inequality techniques.

Keywords

Supporting Institution

Dicle University

Project Number

ZGEF.18.009

References

  1. G. Kirchhoff, Mechanik, Teubner, (1883).
  2. S. T. Wu, On Decay and Blow-Up of Solutions for a System of Nonlinear Wave Equations, Journal of Mathematical Analysis and Applications 394 (2012) 360-377.
  3. X. Han, M. Wang, Global Existence and Blow-Up of Solutions for a System of Nonlinear Viscoelastic Wave Equations with Damping and Source, Nonlinear Analysis 7 (2009) 5427-5450.
  4. S. A. Messaoudi, B. Said-Houari, Global Nonexistence of Positive Initial-Energy Solutions of a System of Nonlinear Viscoelastic Wave Equations with Damping and Source Terms, Journal of Mathematical Analysis and Applications 365 (2010) 277-287.
  5. B. Said-Houari, S. A. Messaoudi, A. Guesmia, General Decay of Solutions of a Nonlinear System of Viscoelastic Wave Equations, Nonlinear Differential Equations and Applications 18 (2011) 659-684.
  6. E. Pişkin, A Lower Bound for the Blow-Up Time of a System of Viscoelastic Wave Equations with Nonlinear Damping and Source Terms, Journal of Nonlinear Functional Analysis 2017 (2017) 1-9.
  7. E. Pişkin, Global Nonexistence of Solutions for a System of Viscoelastic Wave Equations with Weak Damping Terms, Malaya Journal of Matematik 3(2) (2015) 168-174.
  8. Y. Ye, Global Existence and Energy Decay for a Coupled System of Kirchhoff Type Equations with Damping and Source Terms, Acta Mathematicae Applicatae Sinica, English Series 32(3) (2016) 731-738.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

December 30, 2019

Submission Date

October 14, 2019

Acceptance Date

December 14, 2019

Published in Issue

Year 2019 Number: 29

APA
Pişkin, E., & Harman, E. (2019). Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations. Journal of New Theory, 29, 89-100. https://izlik.org/JA52JY55MA
AMA
1.Pişkin E, Harman E. Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations. JNT. 2019;(29):89-100. https://izlik.org/JA52JY55MA
Chicago
Pişkin, Erhan, and Ezgi Harman. 2019. “Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations”. Journal of New Theory, nos. 29: 89-100. https://izlik.org/JA52JY55MA.
EndNote
Pişkin E, Harman E (December 1, 2019) Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations. Journal of New Theory 29 89–100.
IEEE
[1]E. Pişkin and E. Harman, “Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations”, JNT, no. 29, pp. 89–100, Dec. 2019, [Online]. Available: https://izlik.org/JA52JY55MA
ISNAD
Pişkin, Erhan - Harman, Ezgi. “Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations”. Journal of New Theory. 29 (December 1, 2019): 89-100. https://izlik.org/JA52JY55MA.
JAMA
1.Pişkin E, Harman E. Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations. JNT. 2019;:89–100.
MLA
Pişkin, Erhan, and Ezgi Harman. “Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations”. Journal of New Theory, no. 29, Dec. 2019, pp. 89-100, https://izlik.org/JA52JY55MA.
Vancouver
1.Erhan Pişkin, Ezgi Harman. Energy Decay of Solutions for a System of Higher-Order Kirchhoff Type Equations. JNT [Internet]. 2019 Dec. 1;(29):89-100. Available from: https://izlik.org/JA52JY55MA

 

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