Results 91 to 100 of about 221 (109)

Oscillatory properties for semilinear degenerate hyperbolic equations of second order

Journal of Mathematical Analysis and Applications, 2009
We consider three kind of oscillatory properties of the solutions to semilinear degenerate hyperbolic equations. Several sufficient conditions for the oscillation or non-oscillation are presented.
Ishida, Haruhisa, Yuzawa, Yasuo
exaly   +2 more sources

Existence of solution for the n-dimension second order semilinear hyperbolic equations

Journal of Mathematical Analysis and Applications, 2011
In the paper we establish the local and global existence of solution for the n-dimensional second order semilinear hyperbolic equation with a strongly singular coefficient which appears in the boundary-value problems of fluid dynamics.
Kangqun Zhang
exaly   +2 more sources

Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations

Nonlinear Analysis: Theory, Methods & Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aliev, Akbar B., Lichaei, Bijan H.
openaire   +2 more sources

CAUCHY PROBLEM FOR SEMILINEAR HYPERBOLIC EQUATION OF HIGHER ORDER WITH DISCONTINUOUS INITIAL DATA

Acta Mathematica Scientia, 1994
Summary: The following Cauchy problem is under consideration: \[ Lu= F(t,x_ 1,\dots, x_ n, u,\dots, \partial^{m-1} u), \qquad \partial^{m-1} u_{| t=0}=q \quad (j=1,\dots, m), \] where \(L\) is a strictly hyperbolic operator of \(m\)-th order with respect to direction \(t\), \(F\) is a \(C^ \infty\) function of its arguments, and the initial data have a
openaire   +2 more sources

Regular Problems for Semilinear Hyperbolic Type Equations

Nonlinear Differential Equations and Applications, 2009
Jin-Mun Jeong, Jeong Jin-Mun
exaly  

Exact Controllability for Multidimensional Semilinear Hyperbolic Equations

SIAM Journal on Control and Optimization, 2007
Xiaoyu Fu, Jiongmin Yong
exaly  

On family of potential wells and applications to semilinear hyperbolic equations and parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 2020
exaly  

On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1980
Vassilios A Dougalis
exaly  

On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems

Lithuanian Mathematical Journal, 2022
exaly  

Local existence for semilinear weakly hyperbolic equations with time dependent coefficients

Nonlinear Analysis: Theory, Methods & Applications, 1993
Piero D’Ancona
exaly