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CDC
2009
IEEE
176views Control Systems» more  CDC 2009»
13 years 10 months ago
A characterization of solution sets of LTI differential equations
Abstract— We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time in...
Jean-Charles Delvenne, Tzvetan Ivanov
ADCM
2008
71views more  ADCM 2008»
13 years 7 months ago
Solvability of partial differential equations by meshless kernel methods
This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then ...
Y. C. Hon, Robert Schaback
AMC
2005
195views more  AMC 2005»
13 years 7 months ago
A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...
Onur Kiymaz, Seref Mirasyedioglu
APPML
2005
54views more  APPML 2005»
13 years 7 months ago
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 eq...
Cezar Avramescu, Octavian G. Mustafa, Svitlana P. ...
APPML
2005
82views more  APPML 2005»
13 years 7 months ago
Existence of positive periodic solutions to nonlinear second order differential equations
In this paper, we discuss the existence of positive periodic solutions to the nonlinear differential equation u (t) + a(t)u(t) = f (t, u(t)), t R, where a : R [0, +) is an -peri...
Fuyi Li, Zhanping Liang