Research Article

Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities

Volume: 8 Number: 1 April 15, 2020
EN

Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities

Abstract

In this paper, we investigate a class of doubly nonlinear parabolic systems with Krichhoff-type. We prove a nonexistence of global solutions and exponential growth of solution with negative initial energy.



Keywords

References

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  6. [6] S. Kundu, K. A. Pani, M. Khebchareon, On Kirchhoff’s model of parabolic type, Numerical Functional Analysis and Optimization, 37(6), (2016), 719–752.
  7. [7] N. H. Chang, M. Chipot, Nonlinear nonlocal evolution problems, RACSAM, Rev. R. Acad. Cien. Ser. A. Mat., 97, (2003), 393–415.
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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 15, 2020

Submission Date

July 15, 2019

Acceptance Date

April 25, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

APA
Pişkin, E., & Ekinci, F. (2020). Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities. Konuralp Journal of Mathematics, 8(1), 216-222. https://izlik.org/JA24CB35CS
AMA
1.Pişkin E, Ekinci F. Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities. Konuralp J. Math. 2020;8(1):216-222. https://izlik.org/JA24CB35CS
Chicago
Pişkin, Erhan, and Fatma Ekinci. 2020. “Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation With Multiple Nonlinearities”. Konuralp Journal of Mathematics 8 (1): 216-22. https://izlik.org/JA24CB35CS.
EndNote
Pişkin E, Ekinci F (April 1, 2020) Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities. Konuralp Journal of Mathematics 8 1 216–222.
IEEE
[1]E. Pişkin and F. Ekinci, “Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities”, Konuralp J. Math., vol. 8, no. 1, pp. 216–222, Apr. 2020, [Online]. Available: https://izlik.org/JA24CB35CS
ISNAD
Pişkin, Erhan - Ekinci, Fatma. “Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation With Multiple Nonlinearities”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 216-222. https://izlik.org/JA24CB35CS.
JAMA
1.Pişkin E, Ekinci F. Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities. Konuralp J. Math. 2020;8:216–222.
MLA
Pişkin, Erhan, and Fatma Ekinci. “Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation With Multiple Nonlinearities”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 216-22, https://izlik.org/JA24CB35CS.
Vancouver
1.Erhan Pişkin, Fatma Ekinci. Blow Up and Growth of Solutions for A Parabolic Type Kirchhoff Equation with Multiple Nonlinearities. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):216-22. Available from: https://izlik.org/JA24CB35CS
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