[PDF] Top 20 On the Solutions of Difference Equation Systems with Padovan Numbers
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On the Solutions of Difference Equation Systems with Padovan Numbers
... The above cubic equation is the characteristic equation of the recurrence relation of the Padovan numbers in (1.2) having the unique real root Hence the unique equilibrium point of system ... See full document
6
On the solutions of some nonlinear systems of difference equations
... Recently, rational difference equations have attracted the attention of many researchers for various reasons. On the one hand, they provide examples of nonlinear equations which are, in some cases, treatable but their ... See full document
14
On the Periodic Nature of Solutions to the Reciprocal Difference Equation with Maximum
... period systems is given, then the systems are analyzed to get a lower bound on maximum period ...M numbers less than or equal to N; and baselen (M ), abbreviated b M , the minimum size “base” needed ... See full document
109
On Homoclinic Solutions of a Semilinear Laplacian Difference Equation with Periodic Coefficients
... Recently, there is a large literature on the use of variational methods to the existence of homoclinic or heteroclinic orbits of Hamiltonian systems; see 2–7 and the references therein. In the recent paper of Li 8 ... See full document
17
Weak homoclinic solutions of anisotropic difference equation with variable exponents
... homoclinic solutions for the problem ...Hamiltonian systems. Since we are seeking for solutions u of the problem ...homoclinic solutions for the problem ...homoclinic solutions where ... See full document
13
On the Solutions of Systems of Difference Equations
... numerical solutions of differential and delay differential equations having applications in biology, ecology, economy, physics, and so on ...and systems of difference ... See full document
9
On the solutions of two special types of Riccati difference equation via Fibonacci numbers
... Nonlinear difference equations have long interested researchers in the field of mathemat- ics as well as in other sciences. They play a key role in many applications such as the natural model of a discrete process. There ... See full document
7
Asymptotic constancy of solutions of systems of difference equations
... After, we have studied the existence of convergent solutions of nonlinear systems whose linear part has a dichotomy See 13, 14, 16-18] These results are obtained under absolutely summabl[r] ... See full document
6
Estimates for the norms of solutions of delay difference systems
... We derive explicit stability conditions for delay difference equations in C n (the set of n complex vectors) and estimates for the size of the solutions are derived. Applications to partial difference equations, ... See full document
7
Cm solutions of systems of finite difference equations
... Let R be the real number axis. Suppose that G, H are C m maps from R 2n+3 to R. In this note, we discuss the system of finite difference equations G(x, f (x), f (x + 1), . . . , f (x+n), g(x), g(x + 1), . . . , g(x +n)) = ... See full document
12
ON EXISTENCE OF PERIODIC SOLUTIONS OF THE KDV TYPE EQUATION
... periodic solutions of the KDV type of equation with respect to time variable with periodic external ...original equation to the integral ...the equation is proved by the fixed point ... See full document
6
ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... the solutions of fuzzy fractional differential equations, in the sense of Riemann-Liouville Hukuhara-differentiability, are constructed by using fuzzy the Laplace ... See full document
6
On Homogeneous Cubic Diophantine equation with Four Unknowns $3(x^3+y^3) = 8zp^2$
... Integral solutions for the homogeneous Diophantine cubic equation is an interesting concept as it can be seen from ...integral solutions of an interesting cubic equation with four ... See full document
8
Global Analysis of Solutions of a New Class of Rational Difference Equation
... In the next, we will and to many of the basic concepts. Before anything, the concept of equilibrium point is essential in the study of the dynamics of any physical system. A point ψ in the domain of the function Φ is ... See full document
9
Rate of convergence of solutions of rational difference equation of second order
... Equation (1.3) was studied in detail in [7, 10], where we have found the region of param- eters for which the equilibrium is globally asymptotically stable and the region where the equation has a unique ... See full document
19
L2 regularity of measurable solutions of a finite difference equation of the circle
... L2 regularity of measurable solutions of a finite-difference equation of the circle† MICHAEL ROBERT HERMAN Mathematics Institute, Warwick University, UK and Centre de Mathematiques, Ecol[r] ... See full document
6
Trichotomy of nonoscillatory solutions to second order neutral difference equation with quasi difference
... 26. Cheng, SS, Patula, WT: An existence theorem for a nonlinear difference equation. Nonlinear Anal. 20, 193-203 (1993) 27. Gy ˝ori, I, Ladas, G: Oscillation Theory of Delay Differential Equations with Applications. ... See full document
14
Existence of periodic solutions for a higher order neutral difference equation
... differential equation and difference equation has impor- tant academic value and application ...periodic solutions of neutral difference equations are relatively few (see [7, ... See full document
8
Convergence and periodicity of solutions for a class of difference systems
... On the other hand, the dynamics of the systems (1.1) and (1.3) have been extensively studied in the literature. However, most of the existing results are concentrated on the case where the function f is piecewise ... See full document
10
On The Homogeneous Ternary Quadraticdiophantine Equation 6x2 +7y2 =559z2
... Diophantine equation offer an unlimited field for research due to their variety 1 3 ...quadratic equation with three ...interesting equation 6 x 2 7 y 2 559 z 2 representing non-homogeneous ... See full document
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