Results 11  20
of
76,280
SPECTRAL CHARACTERIZATION OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
"... Abstract. A spectral characterization of solutions of abstract linear differential equation systems is given. The characterization is in terms of the spectrum of a related continuous selfadjoint linear operator. 1. ..."
Abstract
 Add to MetaCart
Abstract. A spectral characterization of solutions of abstract linear differential equation systems is given. The characterization is in terms of the spectrum of a related continuous selfadjoint linear operator. 1.
A THEORY OF LINEAR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
"... A b s t r a c t. We give the existence of solutions to the linear differential equation with fractional derivatives which are real numbers and two different types of initial conditions. Relations between these initial conditions is considered. ..."
Abstract
 Add to MetaCart
A b s t r a c t. We give the existence of solutions to the linear differential equation with fractional derivatives which are real numbers and two different types of initial conditions. Relations between these initial conditions is considered.
LIMIT BEHAVIOR OF SOLUTIONS OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS
"... Abstract. A classification of classes of equivalent linear differential equations with respect to ωlimit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented. 1. ..."
Abstract
 Add to MetaCart
Abstract. A classification of classes of equivalent linear differential equations with respect to ωlimit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented. 1.
CALCULUS OF THE FUNDAMENTAL MATRIX FOR GENERALIZED LINEAR DIFFERENTIAL EQUATIONS
"... Two methods are given for the calculus of the fundamental matrix for the generalized linear differential equations on the Banach space of functions of bounded variation. The main result extends the PeanoBaker formula in this framework. 1. ..."
Abstract
 Add to MetaCart
Two methods are given for the calculus of the fundamental matrix for the generalized linear differential equations on the Banach space of functions of bounded variation. The main result extends the PeanoBaker formula in this framework. 1.
On the solution of linear differential equations in Lie groups
, 1997
"... The subject matter of this paper is the solution of the linear differential equation y = a#t#y, y#0# = y0 , where y0 2 G, a# # #:R !gand g is a Lie algebra of the Lie group G. By building upon an earlier work of Wilhelm Magnus [16], we represent the solution as an infinite series whose terms are ind ..."
Abstract

Cited by 81 (11 self)
 Add to MetaCart
The subject matter of this paper is the solution of the linear differential equation y = a#t#y, y#0# = y0 , where y0 2 G, a# # #:R !gand g is a Lie algebra of the Lie group G. By building upon an earlier work of Wilhelm Magnus [16], we represent the solution as an infinite series whose terms
Oscillation and nonoscillation of solutions of second order linear differential equations with integrable coefficients
 Trans. Amer. Math. Soc
, 1969
"... Oscillation and nonoscillation of solutions of second order linear differential equations with integrable coefficients ..."
Abstract

Cited by 10 (0 self)
 Add to MetaCart
Oscillation and nonoscillation of solutions of second order linear differential equations with integrable coefficients
Liouvillian solutions of linear differential equations with liouvillian coefficients
 Computers and Mathematics
, 1989
"... Let L(y) = b be a linear differential equation with coefficients in a differential field K. We discuss the problem of deciding if such an equation has a nonzero solution in K and give a decision procedure in case K is an elementary extension of the field of rational functions or is an algebraic ex ..."
Abstract

Cited by 56 (6 self)
 Add to MetaCart
Let L(y) = b be a linear differential equation with coefficients in a differential field K. We discuss the problem of deciding if such an equation has a nonzero solution in K and give a decision procedure in case K is an elementary extension of the field of rational functions or is an algebraic
A Disconjugacy Criterion for SelfAdjoint Linear Differential Equations
, 1970
"... A disconjugacy criterion for selfadjoint linear differential equations ..."
Solving Linear Differential Equation through Companion Matrix
"... The Newton equation of motion gives Hamilton equations. The Hamilton equations are equivalently represented as Lagrange equations which yield an EulerLagrange equation. In this statement, it is worthwhile to note that there exists a certain equivalence between the homogeneous linear differential eq ..."
Abstract
 Add to MetaCart
The Newton equation of motion gives Hamilton equations. The Hamilton equations are equivalently represented as Lagrange equations which yield an EulerLagrange equation. In this statement, it is worthwhile to note that there exists a certain equivalence between the homogeneous linear differential
Fourth Order Linear Differential Equations with Imprimitive Group
"... In this paper we study fourth order linear differential equations whose differential Galois groups are imprimitive. We derive optimal bounds for the degree of the minimal polynomial of the logarithmic derivative of a Liouvillian solution. This is the lowest possible order where imprimitive non monom ..."
Abstract
 Add to MetaCart
In this paper we study fourth order linear differential equations whose differential Galois groups are imprimitive. We derive optimal bounds for the degree of the minimal polynomial of the logarithmic derivative of a Liouvillian solution. This is the lowest possible order where imprimitive non
Results 11  20
of
76,280