Results 31 to 40 of about 10,898,866 (197)
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
doaj +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
openaire +1 more source
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
doaj +1 more source
Fractal and Fractional, 2022 In this article, a hybrid numerical technique combining the Laplace transform and residual power series method is used to construct a series solution of the nonlinear fractional Riccati differential equation in the sense of Caputo fractional derivative ...
A. Burqan, Aref Sarhan, Rania Saadeh
semanticscholar +1 more source
International Journal of Mathematics and Systems Science, 2018 This article concerns with the construction of the analytical traveling wave so- lutions for the Generalized-Zakharov System by the Riccati-Bernoulli Sub- ODE technique.
M. Abdelrahman, M. Sohaly
semanticscholar +1 more source
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
doaj +1 more source