Results 41 to 50 of about 546 (157)

Subdominant positive solutions of the discrete equation Δu(k + n) = −p(k)u(k)

Abstract and Applied Analysis, Volume 2004, Issue 6, Page 461-470, 2004., 2004
A delayed discrete equation Δu(k + n) = −p(k)u(k) with positive coefficient p is considered. Sufficient conditions with respect to p are formulated in order to guarantee the existence of positive solutions if k → ∞. As a tool of the proof of corresponding result, the method described in the author′s previous papers is used.
Jaromír Baštinec, Josef Diblík
wiley   +1 more source

Dynamics of an Anti-competitive Two Dimensional Rational System of Difference Equations

Sarajevo Journal of Mathematics
We investigate the global asymptotic behavior of solutions of the following anti-competitive system of rational difference equations\begin{equation*}x_{n+1}=\frac{\gamma _{1}y_{n}}{A_{1}+x_{n}}+h,\quady_{n+1}=\frac{\beta _{2}x_{n}}{A_{2}+y_{n}},\quad n=0,
M. Garić-Demirović, M. Nurkanović
semanticscholar   +1 more source

Positive solutions for singular discrete boundary value problems

Abstract and Applied Analysis, Volume 2004, Issue 4, Page 271-283, 2004., 2004
We study the existence of zero‐convergent solutions for the second‐order nonlinear difference equation Δ(anΦp(Δxn)) = g(n, xn+1), where Φp(u) = |u|p−2u, p > 1,{an} is a positive real sequence for n ≥ 1, and g is a positive continuous function on ℕ × (0, u0), 0 < u0 ≤ ∞. The effects of singular nonlinearities and of the forcing term are treated as well.
Mariella Cecchi, Zuzana Došlá, Mauro Marini   +2 more
wiley   +1 more source

Symplectic difference systems: oscillation theory and hyperbolic Prüfer transformation

Abstract and Applied Analysis, Volume 2004, Issue 4, Page 285-294, 2004., 2004
We present basic methods of oscillation theory of symplectic difference systems (SDSs). A particular attention is devoted to the variational principle and to the transformation method. Hyperbolic Prüfer transformation for SDSs is established.
Ondřej Došlý
wiley   +1 more source

An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

Fractional Differential Calculus, 2019
In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar   +1 more source

On a Nonlinear Volterra Integral Equation in Two Variables

Sarajevo Journal of Mathematics
The aim of this paper is to study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra integral equation in two variables. The fundamental tools employed in the analysis are based on applications of the Banach fixed
B. G. Pachpatte
semanticscholar   +1 more source

Oscillatory behavior of second order nonlinear difference equations with a nonlinear nonpositive neutral term

Miskolc Mathematical Notes, 2019
The authors present some new oscillation criteria for second order nonlinear difference equations with a nonlinear nonpositive neutral term of the form a.t/ x.t/ p.t/x.t k/ Cq.t/x .tC1 m/D 0; with positive coefficients.
S. Grace, J. Graef
semanticscholar   +1 more source

Accurate solution estimates for nonlinear nonautonomous vector difference equations

Abstract and Applied Analysis, Volume 2004, Issue 7, Page 603-611, 2004., 2004
The paper deals with the vector discrete dynamical system xk+1 = Akxk + fk(xk). Thewell‐known result by Perron states that this system is asymptotically stable if Ak ≡ A = const is stable and fk(x)≡f˜(x)=o(‖x‖). Perron′s result gives no information about the size of the region of asymptotic stability and norms of solutions.
Rigoberto Medina, M. I. Gil′
wiley   +1 more source

Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales [PDF]

, 2013
In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive ...
Dogan, Abdulkadir, Abdulkadir Dogan
core   +1 more source

The Rate of Convergence of a Certain Mixed Monotone Difference Equation

Sarajevo Journal of Mathematics
This paper investigates the rate of convergence of a certain mixed monotone rational second-order difference equation with quadratic terms. More precisely we give the precise rate of convergence for all attractors of the difference equation $x_{n+1 ...
M. Kulenović, M. Nurkanović, Z. Nurkanović   +2 more
semanticscholar   +1 more source