ABOUT TECHNICAL SYSTEMS CAPACITY FOR WORK REPRESENTED WITH REAL FINITE-DIMENSIONAL EQUATIONS IN A NORMAL FORM WITH THE LINEAR DIFFERENTIAL OPERATOR

2016 ◽  
Vol 8 (3) ◽  
pp. 39-55
Author(s):  
Котов ◽  
P. Kotov
Keyword(s):  
Differential Operator ◽  
Normal Form ◽  
Dynamic Models ◽  
Initial Conditions ◽  
Linear Differential Operator ◽  
Finite Dimensional ◽  
Technical Systems ◽  
Linear Differential

Solid aspects of determined systems stability and the results of dynamic models modeling described by the non-resonance real equations with the linear summary differential operator, constant elements of coefficient system, experimental initial conditions are offered.

PECULARITIES OF STABILITY OF THE FINITE-DIMENSIONAL SYSTEM DESCRIBED BY THE NON-RESONANT EQUATION WITH THE LINEAR DIFFERENTIAL OPERATOR

2016 ◽  
Vol 9 (2) ◽  
pp. 42-51
Author(s):  
Котов ◽  
P. Kotov
Keyword(s):  
Differential Operator ◽  
Normal Form ◽  
Linear Equation ◽  
Linear Differential Operator ◽  
Dimensional System ◽  
Resonant System ◽  
Finite Dimensional ◽  
Positive Elements ◽  
Dimensional Version ◽  
Linear Differential

The linear system represented in a normal form with the material measurable elements of coefficient system is considered by the uniform linear equation and are offered aspects of stability of the finite-dimensional version of non-resonant system described by the linear equation resolved ralatively derivative with the constant positive elements of the coefficient system in a decimal numeral system at the example of the test of the known dynamic model resources of the portable personal computer are constructive.

Method of Forced Monotonicity for Conjugate type Boundary Value Problems for Ordinary Differential Equations

1988 ◽  
Vol 31 (1) ◽  
pp. 79-84
Author(s):  
P. W. Eloe ◽  
P. L. Saintignon
Keyword(s):  
Differential Operator ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Linear Differential Operator ◽  
Boundary Value ◽  
Linear Differential ◽  
Type Boundary ◽  
Sign Conditions ◽  
Conjugate Type

AbstractLet I = [a, b] ⊆ R and let L be an nth order linear differential operator defined on Cn(I). Let 2 ≦ k ≦ n and let a ≦ x1 < x2 < … < xn = b. A method of forced mono tonicity is used to construct monotone sequences that converge to solutions of the conjugate type boundary value problem (BVP) Ly = f(x, y),y(i-1) = rij where 1 ≦i ≦ mj, 1 ≦ j ≦ k, mj = n, and f : I X R → R is continuous. A comparison theorem is employed and the method requires that the Green's function of an associated BVP satisfies certain sign conditions.

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