Multipoint problem for typeless systems of differential equations with constant coefficients

1997 ◽  
Vol 49 (9) ◽  
pp. 1393-1408 ◽  
Author(s):  
B. I. Ptashnyk ◽  
L. P. Sylyuha
Keyword(s):  
Differential Equations ◽  
Multipoint Problem ◽  
Systems Of Differential Equations ◽  
Constant Coefficients

Indefinite inner products: Conjugation

2014 ◽  
Author(s):  
Leiba Rodman
Keyword(s):  
Differential Equations ◽  
Linear Control ◽  
Linear Control Systems ◽  
Inner Product ◽  
Canonical Forms ◽  
Linear Transformations ◽  
Inner Products ◽  
Systems Of Differential Equations ◽  
Lagrangian Subspaces ◽  
Constant Coefficients

This chapter studies matrices (or linear transformations) that are selfadjoint or skewadjoint with respect to a nondegenerate hermitian or skewhermitian inner product. As an application of the canonical forms obtained in chapters 8 and 9, canonical forms for such matrices are derived in this chapter. Matrices that are skewadjoint with respect to skewhermitian inner products are known as Hamiltonian matrices; they play a key role in many applications such as linear control systems. The canonical forms reveal invariant Lagrangian subspaces; in particular, they give criteria for existence of such subspaces. Another application involves boundedness and stable boundedness of linear systems of differential equations with constant coefficients under suitable symmetry requirements.

Infinite Systems of Differential Equations

1976 ◽  
Vol 28 (6) ◽  
pp. 1132-1145 ◽  
Author(s):  
J. P. McClure ◽  
R. Wong
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Nonlinear Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Systems Of Nonlinear Equations ◽  
Infinite Systems ◽  
Systems Of Differential Equations ◽  
Constant Coefficients ◽  
Linear Differential ◽  
Image Position

In an earlier paper [7], we have studied the existence, uniqueness and asymptotic behavior of solutions to certain infinite systems of linear differential equations with constant coefficients. In the present paper we are interested in systems of nonlinear equations whose coefficients are not necessarily constants; more specifically, we are concerned with infinite systems of the form

SOLUTION OF SOME SYSTEMS OF DIFFERENTIAL EQUATIONS IN MATHEMATICAL SYSTEM MAPLE

2013 ◽  
Vol 1 (05) ◽  
pp. 58-65
Author(s):  
Yunona Rinatovna Krakhmaleva ◽  
◽  
Gulzhan Kadyrkhanovna Dzhanabayeva ◽  
Keyword(s):  
Differential Equations ◽  
Systems Of Differential Equations ◽  
Mathematical System

On decomposability of countable systems of differential equations

1993 ◽  
Vol 45 (10) ◽  
pp. 1598-1608
Author(s):  
A. M. Samoilenko ◽  
Yu. V. Teplinskii
Keyword(s):  
Differential Equations ◽  
Systems Of Differential Equations
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