论文信息 - Conditional stability for a class of second-order differential equations - 字舞流文

Conditional stability for a class of second-order differential equations

Using two classes of test functions introduced recently by the authors, a criterion for conditional stability of the trivial solution of a second-order semi-linear differential equation is established.

Svitlana P. Rogovchenko | Yuri V. Rogovchenko | Octavian G. Mustafa | Cezar Avramescu | C. Avramescu | S. Rogovchenko | O. Mustafa

[1] F. V. Vleck,et al. Stability and Asymptotic Behavior of Differential Equations , 1965 .

[2] Ravi P. Agarwal,et al. Singular problems on the infinite interval modelling phenomena in draining flows , 2001 .

[3] D. O’Regan. Existence Theory for Nonlinear Ordinary Differential Equations , 1997 .

[4] D. O’Regan,et al. Infinite Interval Problems Modeling the Flow of a Gas Through a Semi‐Infinite Porous Medium , 2002 .

[5] Yuri V. Rogovchenko,et al. Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations , 2002 .

[6] M. Furi,et al. A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals , 1987 .

[7] R. Bellman. Stability theory of differential equations , 1953 .

[8] Ravi P. Agarwal,et al. Existence and asymptotic behavior of solutions of a boundary value problem on an infinite interval , 2005, Math. Comput. Model..

[9] R. W. Dickey. Rotationally symmetric solutions for shallow membrane caps , 1989 .

[10] A. Wintner. Asymptotic integrations of the adiabatic oscillator in its hyperbolic range , 1948 .

[11] Ravi P. Agarwal,et al. Infinite Interval Problems for Differential, Difference and Integral Equations , 2001 .

[12] P. Hartman. Unrestricted solution fields of almost-separable differential equations , 1948 .