Open AccessOn blowing-up solutions for multi-time nonlinear hyperbolic equations and systems
Author(s) -
Bashir Ahmad,
Ahmed Alsaedi,
Eduardo Cuesta,
Mokhtar Kirane
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1709599a
Subject(s) - mathematics , nonlinear system , exponent , hyperbolic partial differential equation , dimension (graph theory) , mathematical analysis , blowing up , partial differential equation , pure mathematics , physics , philosophy , linguistics , quantum mechanics
For a two-dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended not only to a system of two equations but also to a two-time fractional nonlinear equation with different time order derivatives.