Global existence and nonexistence results for a class of semilinear hyperbolic systems | Zendy

Aliev Akbar B. | Zendy; Kazimov Anar A. | Zendy; Guliyeva Vusala F. | Zendy

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Global existence and nonexistence results for a class of semilinear hyperbolic systems

Author(s) -

Aliev Akbar B.,

Kazimov Anar A.,

Guliyeva Vusala F.

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2673

Subject(s) - mathematics , class (philosophy) , hyperbolic partial differential equation , cauchy distribution , cauchy problem , type (biology) , initial value problem , pure mathematics , mathematical analysis , partial differential equation , computer science , artificial intelligence , ecology , biology

In this paper, we investigate the Cauchy problem for a class of the system of semilinear hyperbolic equations with damping. With the use of the L p → L q type estimation for the corresponding linear problem and the method of comparison of functional, the existence and nonexistence criteria of global solutions are found. Copyright © 2012 John Wiley & Sons, Ltd.

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