AbstractWe study oscillatory properties of two-dimensional symplectic difference systems. Using the recently introduced concept of the phase of a basis of these systems, combined with the Riccati technique, we obtain new oscillation and conjugacy criteria
AbstractWe establish a Sturmian separation theorem for conjoined bases of 2n-dimensional symplectic ...
AbstractWe examine transformations for symplectic difference systems and Riccati difference operator...
AbstractSufficient conditions are established for the oscillation of the linear two-dimensional diff...
AbstractWe study oscillatory properties of two-dimensional symplectic difference systems. Using the ...
summary:The second order linear difference equation \[ \Delta (r_k\triangle x_k)+c_kx_{k+1}=0, \qqua...
AbstractWe establish new conjugacy criteria for the second order linear difference equation Δ(rkΔxk)...
AbstractIn this paper we open a new direction in the study of discrete symplectic systems and Sturm–...
In this paper we consider problems that consist of symplectic difference systems depending on an eig...
AbstractIn this paper we show that any symplectic difference system can be transformed into a trigon...
AbstractWe establish some oscillation criteria for the two-dimensional dynamic system {xΔ(t)=b(t)g[y...
AbstractSeveral new oscillation criteria for two-dimensional nonlinear difference systems are establ...
AbstractThe authors consider the nonlinear two-dimensional difference systemΔxn=bng(yn),Δyn−1=−anf(x...
AbstractBy employing a generalized Riccati technique and an averaging technique, interval oscillatio...
summary:We establish conditions which guarantee that the second order difference equation \[\Delta ^...
AbstractIn this paper, sufficient conditions have been obtained for the oscillation of a class of li...
AbstractWe establish a Sturmian separation theorem for conjoined bases of 2n-dimensional symplectic ...
AbstractWe examine transformations for symplectic difference systems and Riccati difference operator...
AbstractSufficient conditions are established for the oscillation of the linear two-dimensional diff...
AbstractWe study oscillatory properties of two-dimensional symplectic difference systems. Using the ...
summary:The second order linear difference equation \[ \Delta (r_k\triangle x_k)+c_kx_{k+1}=0, \qqua...
AbstractWe establish new conjugacy criteria for the second order linear difference equation Δ(rkΔxk)...
AbstractIn this paper we open a new direction in the study of discrete symplectic systems and Sturm–...
In this paper we consider problems that consist of symplectic difference systems depending on an eig...
AbstractIn this paper we show that any symplectic difference system can be transformed into a trigon...
AbstractWe establish some oscillation criteria for the two-dimensional dynamic system {xΔ(t)=b(t)g[y...
AbstractSeveral new oscillation criteria for two-dimensional nonlinear difference systems are establ...
AbstractThe authors consider the nonlinear two-dimensional difference systemΔxn=bng(yn),Δyn−1=−anf(x...
AbstractBy employing a generalized Riccati technique and an averaging technique, interval oscillatio...
summary:We establish conditions which guarantee that the second order difference equation \[\Delta ^...
AbstractIn this paper, sufficient conditions have been obtained for the oscillation of a class of li...
AbstractWe establish a Sturmian separation theorem for conjoined bases of 2n-dimensional symplectic ...
AbstractWe examine transformations for symplectic difference systems and Riccati difference operator...
AbstractSufficient conditions are established for the oscillation of the linear two-dimensional diff...
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