Results 261 to 270 of about 174,713,239 (293)
Some of the next articles are maybe not open access.
Stability and Asymptotic Behavior of Solutions
1992The stability analysis for scalar boundary-value problems is extended to coupled system of two equations where the reaction function is quasimonotone. For a given steady-state solution, including the trivial solution, sufficient conditions are obtained to ensure its asymptotic stability for each type of quasimonotone reaction functions.
openaire +1 more source
A Note on the Asymptotic Behavior of Solutions of the KPP Equation
SIAM Journal on Mathematical Analysis, 1979This note is concerned with the convergence (as $t \to \infty $) to travelling waves of solutions u to the initial value problem of the KPP equation \[u_t = u_{xx} + f(u),\quad x \in \mathbb{R} {\text{ and }}t > 0.\] A travelling wave $\phi _c $ is a solution of the form $u(x,t) = \phi _c (x + ct)$.
openaire +1 more source
Asymptotic Behavior of Solutions of the Porous Media Equation
SIAM Journal on Applied Mathematics, 1971A degenerate quasi-linear parabolic equation which arises in the study of fluid flow through porous media is investigated. It is shown that the solutions of a class of mixed initial boundary value problems in the domain $x > 0$, $t > 0$ converge upon a suitably chosen similarity solution as $t \to \infty $. The rate of convergence is discussed.
openaire +1 more source
Asymptotic Behavior of Global Solutions for a System of Petrovsky
2009 International Conference on Computer Modeling and Simulation, 2009In this paper we study the asymptotic behavior of global solutions to the initial boundary value problem for semilinear Petrovsky equation with nonlinear damping and source terms by using a difference inequality.
Yaojun Ye, Wanzhen Zhu, Xiaoyan Zhou
openaire +2 more sources
Asymptotic behavior of solutions to the semidiscrete diffusion equation
Applied Mathematics Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
The asymptotic behavior of solutions of the buffered bistable system
Journal of Mathematical Biology, 2006In this paper, we study a model for calcium buffering with bistable nonlinearity. We present some results on the stability of equilibrium states and show that there exists a threshold phenomenon in our model. In comparing with the model without buffers, we see that stationary buffers cannot destroy the asymptotic stability of the associated equilibrium
Guo, Jong-Shenq, Tsai, Je-Chiang
openaire +2 more sources
Asymptotic behavior of the scattering solutions for a multilayered sphere
IEEE Transactions on Antennas and Propagation, 1988The asymptotic behavior of the scattering solutions for a point source radiating in the presence of a N-layered sphere is studied. A spectral integral representation is used to represent the potentials and the fields. The scattering solutions are approximated by the residue series arising from the poles of the integrand in the complex-order plane (v ...
openaire +2 more sources
Asymptotic Behavior of Solutions of a Nonlinear Diffusion Equation
SIAM Journal on Applied Mathematics, 1982A nonlinear diffusion equation which arises in the theory of plasma physics is discussed. It is shown that the solutions of a class of initial boundary value problems converge to a similarity solution as $t \to \infty $. The optimal rate of convergence is established.
openaire +4 more sources
On the asymptotic behavior of the solutions of a nonlinear volterra equation
Annali di Matematica Pura ed Applicata, 1972We investigate the behavior as t→ ∞ of the solutions of $$x'\left( t \right) = - \int\limits_0^t {h\left( {x\left( \tau \right)} \right)d\tau } + \int\limits_0^t {b\left( {t - \tau } \right)g\left( {x\left( \tau \right)} \right)d\tau + f\left( t \right),} $$ The results obtained are compared with earlier results on certain third order ...
openaire +2 more sources