Results 21 to 30 of about 717 (185)
Riccati transformation and nonoscillation criterion for linear difference equations
Proceedings of the American Mathematical Society, 2020 We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward nonoscillation criterion for the treated equations. In contrast to a number of known criteria, we do not need to consider any auxiliary sequences. We use the coefficients of the treated equations directly.
Fujimoto, Kōdai +2 more
openaire +2 more sources
Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
Discrete Dynamics in Nature and Society, 2010 By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. An example illustrating the importance of our results is also included.
Weisong Chen +3 more
doaj +1 more source
Oscillation of fractional order functional differential equations with nonlinear damping
Open Physics, 2015 In this paper, we are concerned with the oscillatory behavior of a class of fractional differential equations with functional terms. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Bayram Mustafa +2 more
doaj +1 more source
Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments
Mathematics, 2019 In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given.
Omar Bazighifan, Clemente Cesarano
doaj +1 more source
Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
Discrete Dynamics in Nature and Society, 2018 Based on generalized Riccati transformation and some inequalities, some oscillation results are established for a class of nonlinear fractional difference equations with damping term.
Zhihong Bai, Run Xu
doaj +1 more source
Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method [PDF]
Progress of Theoretical Physics, 1975 Summary: A simple method for deriving the Bäcklund transformation from the Riccati form of the inverse method is presented for the nonlinear evolution equations.
Konno, Kimiaki, Wadati, Miki
openaire +1 more source
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Graphite nanofluids were stabilized using a mixed SDS/Tween 80 surfactant system. The optimized formulation exhibited enhanced colloidal stability, red‐shifted UV–Vis absorption, and improved photothermal conversion under solar irradiation. Achieving stable dispersion of graphite flakes (GFs) in aqueous media remains a critical challenge in developing ...
Ahmad Chehade +3 more
wiley +1 more source
Advances in Difference Equations, 2019 In this paper, a class of 4th $4{th}$-order neutral delay differential equations with continuously distributed delay is studied. We establish a new oscillation criterion using the Riccati transformation. An example illustrating the results is also given.
George E. Chatzarakis +2 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source