Displaying similar documents to “Input-to-state stability with respect to measurement disturbances for one-dimensional systems”

Oscillation of third-order half-linear neutral difference equations

Ethiraju Thandapani, S. Selvarangam (2013)

Mathematica Bohemica

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Some new criteria for the oscillation of third order nonlinear neutral difference equations of the form Δ ( a n ( Δ 2 ( x n + b n x n - δ ) ) α ) + q n x n + 1 - τ α = 0 and Δ ( a n ( Δ 2 ( x n - b n x n - δ ) ) α ) + q n x n + 1 - τ α = 0 are established. Some examples are presented to illustrate the main results.

Asymptotic behaviour of a difference equation with complex-valued coefficients

Josef Kalas (2005)

Archivum Mathematicum

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The asymptotic behaviour for solutions of a difference equation z n = f ( n , z n ) , where the complex-valued function f ( n , z ) is in some meaning close to a holomorphic function h , and of a Riccati difference equation is studied using a Lyapunov function method. The paper is motivated by papers on the asymptotic behaviour of the solutions of differential equations with complex-valued right-hand sides.