global existence of solution
Global Existence, Uniqueness, and Asymptotic Behavior of Solution for Laplacian Type Wave Equation
... the global existence of solution for ...the existence of solutions to nonlinear wave ...of solution to the wave equation u tt − Δu gu t 0 in Ω × R , where ...
15
Global Existence of Solution for Reaction Diffusion Systems
... the global existence in time of solutions for some class of reaction-diffusion ...a global solution for a large class of the functions f and ...
7
Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation
... the global existence and unique- ness of smooth solution was showed in ...the global regularity to the initial-boundary value problem of the 2D incompressible MHD system with mixed par- tial ...
23
Lyapunov stability solutions of fractional integrodifferential equations
... obtain global existence of solution of the fractional integrodifferential equations ...The existence of extremal (maxi- mal and minimal) solutions of the fractional integrodiffrential equations ...
5
Global existence and asymptotic behavior of solution of second order nonlinear impulsive differential equations
... Proof. We omit the proof as it is virtually the same as that of Theorem 2.1. Theorem 2.8. Suppose that the assumptions of Theorem 2.6 are satisfied for any γ ∈ R. If (2.25) hold for all c > 0, then for any γ ∈ R, ...
8
Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term
... the global existence, blow-up, and asymptotic behavior of solutions to the Dirichlet initial boundary value problem with arbitrary initial energy by using the potential well ...the global ...
17
A stochastic ratio dependent predator prey model under regime switching
... This article presents an investigation of asymptotic properties of a stochastic ratio- dependent predator-prey model under regime switching. Both the white and color noises are taken into account in our model. We obtain ...
17
HYDRODYNAMIC LIMIT OF THE BOLTZMANN-MONGE-AMPERE SYSTEM
... The VPB system, has been investigated many authors. In [6] DiPerna and Lions showed the existence of renormalized solution. Desvilletes and Dolbeault [8] are interested in the long-time behavior of the weak ...
7
GLOBAL IN TIME EXISTENCE OF STRONG SOLUTION TO 3D NAVIER-STOKES EQUATIONS
... The existence of global in time strong solution is known to occur for small initial data due to [5] and ...be global in time for arbitrary large in H 1 initial ...of global ...
9
Global existence and nonexistence for a class of parabolic systems with time-dependent coefficients
... The remainder of this paper is organized as follows. The global existence of the solution to the problem (.) is established in Section , by the standard comparison argument. In Section , we show ...
12
On t h e e v o l u t i o n a r yf o r mo f t h ec o n s t r a i n t s in e l e c t r o d y n a m i c s
... the global existence of a unique smooth solution for the geometrically preferred dependent variables (under suitable regularity conditions on the coefficients and source terms) is guaranteed for the ...
7
Decay Rates of the Compressible Hall MHD Equations for Quantum Plasmas
... the solution that will play an essential role for us to construct the global existence of strong ...the global existence of the solution, which combine with the linear decay ...
23
Global existence of solutions for a fluid model of a neutron star
... the global existence and large-time behavior of a classical solution have been established in some spherically symmetric cases, and we refer to [, , , –] and the references ...the ...
19
On two general nonlocal differential equations problems of fractional orders
... In this paper, we prove some local and global existence theorems for a fractional orders differential equations with nonlocal conditions, also the uniqueness of the solution will be stud[r] ...
5
Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations
... Global existence of classical solutions to the relativistic Vlasov-Maxwell sys- tem, given sufficiently regular initial data, is a long-standing open ...the global existence of a smooth ...
32
GLOBAL ATTRACTIVITY OF SOLUTIONS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS IN TWO VARIABLES
... the existence and global attractivity of solution of functional integral equations in two variables by us- ing this fixed point theorem and a measure of ...
16
The strong solutions for a class of fluid-particle interaction non-Newtonian models
... the existence and uniqueness for a class of fluid-particle interaction non-Newtonian models which describe the evolution of particles dispersed in a viscous compressible non-Newtonian ...
17
Global Properties of Evolutional Lotka Volterra System
... We will study global properties of evolutional Lotka-Volterra system. We assume that the predatory efficiency is a function of a character of species whose evolution obeys a quantitative genetic model. We will ...
10
Global Existence and Convergence of Solutions to a Cross-Diffusion Cubic Predator-Prey System with Stage Structure for the Prey
... Note that, in recent years, there has been considerable interest to investigate the global behavior of a system of interacting populations by taking into account the effect of self as well as cross-diffusion. ...
24
Qualitative behaviour of solutions of hybrid fractional integral equation with linear perturbation of second kind in Banach Space
... Definition 2.16. A solution a ∈ C( R + , R ) of the equation (2.8) is called globally ultimate positive if (2.11) is satisfied. When the limit (2.11) is uniform with respect to the solution set of the ...
8