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On the solution of a class of the reduced wave equation and the Riccati differential equation
Applied Mathematics and Computation, 2010The general solution of the linear differential equation \[ z''=\lambda_0 z \] is studied provided that the infinitely continuously differentiable function \(\lambda_0\) satisfies certain conditions. More precisely, let \(\lambda_1=\lambda_0^\prime\) and define iteratively \(\lambda_{2n-1}=\lambda_0\lambda_{2n-4}+\lambda_{2n-3}^\prime\) for \(n=2,3,4 ...
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Fredholm resolvents, Wiener-Hopf equations, and Riccati differential equations
IEEE Transactions on Information Theory, 1969We shall show that the solution of Fredholm equations with symmetric kernels of a certain type can be reduced to the solution of a related Wiener-Hopf integral equation. A least-squares filtering problem is associated with this equation. When the kernel has a separable form, this related problem suggests that the solution can be obtained via a matrix ...
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Riccati Differential Equations
IEEE Transactions on Systems, Man, and Cybernetics, 1977William T. Reid, M. R. Chidambara
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On a Class of Differential Equations of Riccati Type
Journal of the London Mathematical Society, 1975openaire +2 more sources
An Operational Method for Solutions of Riccati Type Differential Equations With Functional Arguments
Journal of Taibah University for Science, 2020Şuayip Yuzbasi
exaly
Criterion for the Convergence of the Solution of the Riccati Differential Equation
IEEE Transactions on Automatic Control, 1981F Callier, J Willems
exaly
A Matrix Differential Equation of Riccati Type
American Journal of Mathematics, 1946openaire +1 more source