Results 31 to 40 of about 3,735,457 (189)
Half-linear Euler differential equation and its perturbations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
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Conditional oscillation of half-linear Euler-type dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the ...
Petr Hasil, J. Vítovec
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A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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Riccati techniques and oscillation for self-adjoint matrix Hamiltonian systems
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi-Ru Wang +2 more
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International Journal of Differential Equations, 2015 We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
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The development of the deterministic nonlinear PDEs in particle physics to stochastic case
Results in Physics, 2018 In the present work, accuracy method called, Riccati-Bernoulli Sub-ODE technique is used for solving the deterministic and stochastic case of the Phi-4 equation and the nonlinear Foam Drainage equation.
Mahmoud A.E. Abdelrahman, M.A. Sohaly
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Riccati Techniques and Approximation for a Second-Order Poincaré Difference Equation
Journal of Mathematical Analysis and Applications, 1998 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.
Chen, Shaozhu, Wu, Chunqing
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Advances in Difference Equations, 2017 In this paper, the sine-cosine wavelet method is presented for solving Riccati differential equations. The sine-cosine wavelet operational matrix of fractional integration is derived and utilized to transform the equations to system of algebraic ...
Yanxin Wang, Tianhe Yin, Li Zhu
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Riccati techniques and variational principles in oscillation theory for linear systems [PDF]
Transactions of the American Mathematical Society, 1987 We consider the seond order differential system ( 1 ) Y +
Butler, G. J. +2 more
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Oscillation criteria for perturbed half-linear differential equations
Electronic Journal of Qualitative Theory of Differential EquationsOscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
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