Results 31 to 40 of about 131 (124)
On Friedrichs-type inequalities in domains rarely perforated along the boundary [PDF]
, 2011 This article is devoted to the Friedrichs inequality, where the domain is periodically perforated along the boundary. It is assumed that the functions satisfy homogeneous Neumann boundary conditions on the outer boundary and that they vanish on the ...
Lars-Erik Persson +5 more
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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 +2 more
wiley +1 more source
Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
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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
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
On certain comparison theorems for half‐linear dynamic equations on time scales
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 551-565, 2004., 2004 We obtain comparison theorems for the second‐order half‐linear dynamic equation [r(t)Φ(yΔ)]Δ+p(t)Φ(yσ)=0, where Φ(x) = |x|α−1sgn x with α > 1. In particular, it is shown that the nonoscillation of the previous dynamic equation is preserved if we multiply the coefficient p(t) by a suitable function q(t) and lower the exponent α in the nonlinearity Φ ...
Pavel Řehák
wiley +1 more source
Accurate solution estimates for vector difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3059-3066, 2003., 2003 Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix.
Rigoberto Medina
wiley +1 more source
Existence and global stability of positive periodic solutions of a discrete delay competition system
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2401-2413, 2003., 2003 The existence and the global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ...
Hai-Feng Huo, Wan-Tong Li
wiley +1 more source
New Oscillation Criteria for Third Order Nonlinear Neutral Delay Difference Equations with Distributed Deviating Arguments [PDF]
, 2014 2010 Mathematics Subject Classification: 39A10 ...
Elabbasy, E. M. +2 more
core
An analytical method with Padé technique for solving of variational problems
Nonlinear Engineering, 2017 In this paper, the homotopy analysis method (HAM) is employed to solve a class of variational problems (VPs). By using the so-called ħ-curves, we determine the convergence parameter ħ, which plays key role to control convergence of solution series.
Jaffarian H., Sayevand K., Kumar Sunil
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