Differential equations
Numerical and analytical study for integro-differential equations using shifted Legendre method
... functional equations, like ordinary or partial differential equations, integral and integro-differential equations, stochastic ...integro-differential equations, these ...
10
Growth and yield models for eucalyptus stands obtained by differential equations
... using differential equations to estimate the basal area growth and yield of the sample ...by differential equations (Strategy A and Strategy B) was also compared to the efficiency of the ...
7
Nth-order Fuzzy Differential Equations Under Generalized Differentiability
... In this paper, we considered the solutions of Nth-order fuzzy differential equations under generalized differentiability. However, we proposed the integral form of Nth-order fuzzy differential ...
14
On some impulsive fractional differential equations in Banach spaces
... impulsive differential equations have attracted much interest since it is much richer than the corresponding theory of differential equations (see for instance [14, 25, 54] and references ...
19
Adaptive Collocation Methods for the Solution of Partial Differential Equations
... • Confirmation or rejection of the hypothesis formulated by the analysis of former or new data obtained. The generally explanatory hypothesis can be simply a model, or more precisely, a mathematical model, that resume ...
6
Approximation of degenerate partial differential equations arising in finance
... In this thesis we used the framework in the works [31, 32] and extended the studies [26, 27, 28, 30, 45] to the spacial approximation to the solution of the Cauchy problem for a degenerate multidimensional second order ...
112
On differential equations for orthogonal polynomials on the unit circle
... concerning differential equations for orthogonal polynomials on the real ...linear differential equations with polynomial coefficients A n P n ′′ + B n P n ′ + C n P n = 0 , n ≥ 1 , ...
25
Second- order differential equations in the Laguerre-Hahn class
... order differential equations with matrix coefficients for vectors involving the orthogonal polynomials and their associated polynomials, as well as in terms of second order differential equation for ...
26
Ulam stability for fractional differential equations in the sense of Caputo operator
... fractional differential equations with Caputo frac- tional derivative use the initial conditions (including the mixed boundary conditions) on the same character as for the integer-order differential ...
5
On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations
... differential equations. Spectral representations of analytic studies of differential equations have been in used since the days of ...ordinary differential equations refers, at ...
5
Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
... Abstract. We demonstrate that eigenvalue problems for ordinary differential equations can be recast in a formulation suitable for the solution by polynomial collocation. It is shown that the well-posedness ...
13
On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay
... [7] Y.M. Dib, M.R. Maroun, Y.N. Raffoul, Periodicity and stability in neutral nonlinear differential equations with functional delay, Electron. J. Differ. Equ. 142 (2005), 1–11. [8] M. Fan, K. Wang, P.J.Y. ...
13
Solving analytic differential equations in polynomial time over unbounded domains
... Although the poly-boundedness condition is very generous and encompasses “usual” ODEs, it would be interesting to know if we can substitute the poly- boundedness condition by a more natural one. Note that some kind of ...
12
Computability of ordinary differential equations
... Ordinary differential equations (ODEs) appear in many applications and are used to describe a large variety of phenomena. For that reason much effort has been directed towards solving ODEs. Although one can ...
11
Computational bounds on polynomial differential equations
... We consider elementary (in the sense of Analysis) discrete-time dynam- ical systems satisfying certain criteria of robustness. We show that those systems can be simulated with elementary and robust continuous-time ...
20
Averaging for fuzzy differential equations
... [1] B. Bede and S.G. Gal, Generalizations of the differentiability of fuzzy-number- valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems 151 (2005), 581-599. MR2126175 ...
12
Computability with polynomial differential equations
... where p is a vector of polynomials. In the remainder of the paper an IVP of the form (2) will be called a polynomial IVP, and its solution will be termed a PIVP function. We note that many of the usual functions from ...
20
Computability with polynomial differential equations
... polynomial differential equations, namely the notion of differentially algebraic functions, that we then restrict to the case ...ordinary differential equations that are not written in terms ...
98
On the solution of some fractional differential equations
... There has been a great deal of interest in fractional differential equations (Miller et al. 1993; Oldham et al. 1974). These equations arise in mathematical physics and engineering sciences. There ...
7
Method of lines for parabolic stochastic functional partial differential equations
... The method of lines is a semidiscrete numerical method. The idea is to discretize the spatial variable and reduce the given equation to a system of ordinary differential equations. The derivatives with respect to ...
14