Riccati Techniques and Approximation for a Second-Order Poincaré Difference Equation
Copyright policy )Riccati Techniques and Approximation for a Second-Order Poincaré Difference Equation
Approximation results are obtained via a discrete analog of Riccati method for second-order selfadjoint difference equations and applied to the following second-order Poincaré difference equation \[ z_{n+2}-t(2+b_n)z_{n+1}+t^2 (1+c_n)z_n=0,\quad t\neq 0 \] (\(b_n,c_n\) are real numbers) whose unperturbed equation has a double characteristic root.
- Shandong Women’s University China (People's Republic of)
self-adjoint, Applied Mathematics, Riccati method, Riccati techniques, second-order selfadjoint difference equations, Poincaré difference equation, Additive difference equations, second-order Poincaré difference equation, Analysis
self-adjoint, Applied Mathematics, Riccati method, Riccati techniques, second-order selfadjoint difference equations, Poincaré difference equation, Additive difference equations, second-order Poincaré difference equation, Analysis
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