A New Method for Solving the Difference Equations with Variable Coefficients

2007 ◽  
Author(s):  
V. D. Sajfert ◽  
B. S. Tošić ◽  
J. P. Šetrajčić
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
New Method ◽  
The Difference

Improvement of Method and Mechanism for Conical and Paraboloid Springs Hardening

2021 ◽  
Vol 1037 ◽  
pp. 227-232
Author(s):  
Nikita A. Zemlyanushnov ◽  
Nadezhda Y. Zemlyanushnova
Keyword(s):  
New Method ◽  
Cylindrical Shape ◽  
Plastic Deformations ◽  
Conical Shape ◽  
Inner Surface ◽  
Hardening Mechanisms ◽  
The Difference ◽  
Compression Springs

The disadvantage of the known methods of hardening springs is the impossibility of their use when hardening springs of a conical shape or of a shape of a paraboloid of rotation, since they are intended only for cylindrical shape springs and are not suitable for conical shape springs or those of a shape of a paraboloid of rotation specifically because of the difference in the shape of the springs. One of the disadvantages of the known springs hardening mechanisms is the impossibility of hardening the inner surface of the conical compression springs. A new method of hardening springs is proposed, the unmatched advantage of which is the ability to create plastic deformations on the inner and outer surfaces of the spring coils compressed to contact and on the surfaces along the line of contact between the coils. A new advantageous mechanism for hardening springs is proposed, which makes it possible to harden the inner surface of compression springs having a conical shape or a paraboloid shape of rotation, in a compressed state.

scholarly journals On Exponential Dichotomy of Variational Difference Equations

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Bogdan Sasu
Keyword(s):  
Difference Equations ◽  
Exponential Dichotomy ◽  
New Method ◽  
Skew Product ◽  
Skew Product Flows

We give very general characterizations for uniform exponential dichotomy of variational difference equations. We propose a new method in the study of exponential dichotomy based on the convergence of some associated series of nonlinear trajectories. The obtained results are applied to difference equations and also to linear skew-product flows.

scholarly journals Symmetries and Solvability of a Class of Higher Order Systems of Ordinary Difference Equations

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 108
Author(s):  
Kgatliso Mkhwanazi ◽  
Mensah Folly-Gbetoula
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
Higher Order ◽  
Order Difference

We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore, a detailed study for a specific value of k is presented. Our findings generalize some results in the literature.

scholarly journals Analytical Study of the Difference Equation xn+1 = xnxn-6 / xn-5 (±1 – xnxn-6)

2019 ◽  
pp. 1-12
Author(s):  
Abdualrazaq Sanbo ◽  
Elsayed M. Elsayed ◽  
Faris Alzahrani
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Analytical Study ◽  
Initial Conditions ◽  
Specific Form ◽  
Positive Real ◽  
Rational Difference Equations ◽  
Special Cases ◽  
The Difference

This paper is devoted to find the form of the solutions of a rational difference equations with arbitrary positive real initial conditions. Specific form of the solutions of two special cases of this equation are given.

scholarly journals The Influence of Repeat Sprint Training on the Senior Swimmers' Aerobic Capacity

GYMNASIUM ◽  
2019 ◽  
Vol XX (1) ◽  
pp. 126
Author(s):  
Silviu Șalgău
Keyword(s):  
Aerobic Capacity ◽  
New Method ◽  
Sprint Training ◽  
Long Distance ◽  
Training Methodology ◽  
The Difference ◽  
Experimental Group ◽  
Repeat Sprint

It would be recommended to pay swimming the proper attention, both from the perspective of knowing the effort involved and its training methodology. New studies have shown that there are other ways of getting results, sometimes in a shorter period of time than in the case of classic training. A new method, used in this study, is repeat sprint training. The difference between the sprinters' technique and the long distance swimmers' technique is mainly in regard to the race rhythm, more than the specialization of the swimmer. The hypothesis of this research is that repeat sprint training influences/ improves the swimmers' aerobic capacity. At the end, an increase was observed in the maximum alactic and lactic powers, of 50% and 83%, respectively, after the training, in all experimental group subjects.

scholarly journals OSCILLATIONS IN CERTAIN DIFFERENCE EQUATIONS

1997 ◽  
Vol 27 (3) ◽  
pp. 257-265
Author(s):  
ZDZISLAW SZAFRANSKI ◽  
BLAZEJ SZMANDA
Keyword(s):  
Difference Equations ◽  
Sufficient Conditions ◽  
Variable Coefficients ◽  
Linear Difference Equations ◽  
All Solutions

We obtain sufficient conditions for the oscillation of all solutions of some linear difference equations with variable coefficients.

Stability of Solutions of Differential-operator and Operator-difference Equations in the Sense of Perturbation of Operators

2006 ◽  
Vol 6 (3) ◽  
pp. 269-290 ◽  
Author(s):  
B. S. Jovanović ◽  
S. V. Lemeshevsky ◽  
P. P. Matus ◽  
P. N. Vabishchevich
Keyword(s):  
Differential Operator ◽  
Difference Equations ◽  
Hyperbolic Equations ◽  
Second Order ◽  
Difference Schemes ◽  
Order Differential Operator ◽  
Stability Of Solutions ◽  
Operator Equations ◽  
The Difference ◽  
Coefficient Stability

Abstract Estimates of stability in the sense perturbation of the operator for solving first- and second-order differential-operator equations have been obtained. For two- and three-level operator-difference schemes with weights similar estimates hold. Using the results obtained, we construct estimates of the coefficient stability for onedimensional parabolic and hyperbolic equations as well as for the difference schemes approximating the corresponding differential problems.

Stability of Weighted Darma Filters

1998 ◽  
Vol 41 (1) ◽  
pp. 49-64
Author(s):  
K. J. Harrison ◽  
J. A. Ward ◽  
L-J. Eaton
Keyword(s):  
Difference Equations ◽  
Shift Operator ◽  
Variable Coefficients ◽  
Weighted Shift ◽  
Linear Difference Equations ◽  
Linear Filters ◽  
Weighted Shift Operator ◽  
Rational Transfer ◽  
The Stability ◽  
Special Case

AbstractWe study the stability of linear filters associated with certain types of linear difference equations with variable coefficients. We show that stability is determined by the locations of the poles of a rational transfer function relative to the spectrum of an associated weighted shift operator. The known theory for filters associated with constant-coefficient difference equations is a special case.

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