Results 11 to 20 of about 2,088,895 (372)

Euler Type Half-Linear Differential Equation with Periodic Coefficients

Abstract and Applied Analysis, 2013
We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H.
Ondřej Došlý, Hana Funková
doaj   +2 more sources

Perturbations of Half-Linear Euler Differential Equation and Transformations of Modified Riccati Equation

Abstract and Applied Analysis, 2012
We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation.
Ondřej Došlý, Hana Funková
doaj   +2 more sources

Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers [PDF]

ACM Transactions on Mathematical Software, 2020
In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
D. J. Gardner, D. Reynolds, C. Woodward, C. Balos   +3 more
semanticscholar   +1 more source

Regions of stability for a linear differential equation with two rationally dependent delays [PDF]

, 2013
Stability analysis is performed for a linear differential equation with two delays. Geometric arguments show that when the two delays are rationally dependent, then the region of stability increases.
J. Mahaffy, Timothy C. Busken
semanticscholar   +1 more source

Computing the Galois group of some parameterized linear differential equation of order two [PDF]

, 2011
We extend Kovacic's algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the ...
T. Dreyfus
semanticscholar   +1 more source

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

Complexity, 2021
This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
doaj   +1 more source

On linear homogeneous differential equation of Chebyshev type

Lietuvos Matematikos Rinkinys, 2008
Let L[y] = y(n)(z)+gn-1(z)y(n-1)(z)+. . .+g1(z)y(1)(z)+g0(z)y(z) = 0  be a differential equation of nth order with analytic in circle |z| < R coefficients.
Eduard Kiriyatzkii
doaj   +1 more source

Confluence of meromorphic solutions of q-difference equations [PDF]

, 2015
In this paper, we consider a q-analogue of the Borel-Laplace summation where q>1 is a real parameter. In particular, we show that the Borel-Laplace summation of a divergent power series solution of a linear differential equation can be uniformly ...
Dreyfus, Thomas
core   +2 more sources

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
doaj   +1 more source

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

Applied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li, Xinye Li, Shuhao Huo, Chen Xie   +3 more
doaj   +1 more source