Blow-up results for a quasilinear von Karman equation of memory type

In this paper, we consider the blow-up result of solution for a quasilinear von Karman equation of memory type with nonpositive initial energy as well as positive initial energy. For nonincreasing function g > 0 and nondecreasing function f , we prove a finite time blow-up result under suitable c...

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Bibliographic Details
Published in:Boundary value problems 2019-11, Vol.2019 (1), p.1-14, Article 174
Main Authors: Lee, Mi Jin, Kang, Jum-Ran
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Blow-up result
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Memory dissipation
Ordinary Differential Equations
Partial Differential Equations
Von Karman equation
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Summary:In this paper, we consider the blow-up result of solution for a quasilinear von Karman equation of memory type with nonpositive initial energy as well as positive initial energy. For nonincreasing function g > 0 and nondecreasing function f , we prove a finite time blow-up result under suitable condition on the initial data.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-019-1277-y