Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Nonlinear Kirchhoff-type equation

Sortuj według:

Ogranicz wyniki do:

Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation

100%

Gao Q., Li F., Wang Y.

Open Mathematics

2011

tom 9

nr 3

686-698

In this paper, we consider the nonlinear Kirchhoff-type equation $$ u_{tt} + M(\left\| {D^m u(t)} \right\|_2^2 )( - \Delta )^m u + \left| {u_t } \right|^{q - 2} u_t = \left| {u_t } \right|^{p - 2} u $$ with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.

Ograniczanie wyników

1 Open Mathematics

1 Gao Q.

1 Li F.

1 Wang Y.

1 2011

Wyniki wyszukiwania

Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation