'Differential Equations with Piecewise Constant Arguments' – Grafiati
Bibliographies: 'Infinite-Dimensional linear programming' - Grafiati
In particular, the control can be approximated using: (i) piecewise constant, (ii) piecewise linear, or (iii) piecewise cubic polynomials.
Bibliographies: 'Optimale Kontrolle; Partielle Differentialgleichung'
Based on efficient solution methods for the partial differential equation an algorithm known from control theory is applied. Now the main ...
Journal articles: 'Dynamic equations' - Grafiati
... constant and variable parameters, are ... piecewise linear aggregates, which can include processes described with differential equations.
Bibliographies: 'Linear systems' - Grafiati
We begin by expressing the first Painleve equation as the compatibility condition of a certain Lax pair and introduce the Korteweg-de Vries partial differential ...
Bibliographies: 'Nichtlineares inverses Problem' - Grafiati
In section 3 we consider the identification of scalar and piecewise constant parameters in linear elliptic differential equations and examine two test ...
Journal articles: 'Spectrum of differential operators' - Grafiati
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with ...
Bibliographies: 'Degenerate equation' - Grafiati
A system of linear algebraic equations is constructed with respect to the introduced additional parameters. Conditions for the unique ...
Bibliographies: 'Functions, Discontinuous' - Grafiati
We consider a Sturm-Liouville boundary value problem in a bounded domain D of R^n. By this is meant that the differential equation is given by a second order ...
Water waves. Differential equations, Partial. Nonlinear waves - Grafiati
It is shown that the implemented method is capable to extract new solutions and it can also use to other nonlinear partial differential equation ...
Bibliographies: 'Non-constant discretization' - Grafiati
... parameter assumptions. We ... differential equations with fractional derivatives of constant orders and with distributed-order derivatives.
Bibliographies: 'Comparing stiff ODE solvers' - Grafiati
This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and extrapolation solvers. Here ...
Biology and other natural sciences : Ordinary differential equations
A further asymptotic analysis justifies the common approximation of a piecewise constant oxygen uptake across the retina, placing existing ...
Bibliographies: 'Singular integro-differential equations' - Grafiati
... constant parameter values in the model is investigated. In order to provide ... "Piecewise polynomial collocation methods for solving weakly singular integro- ...
Bibliographies: 'Partial order dependence' - Grafiati
Abstract The phase space for nonlinear hyperbolic functional differential equations with unbounded delay is constructed.
Bibliographies: 'Blow-up of solution' - Grafiati
... constant wave speed c satisfies [Formula: see ... "B-methods: Special time-integrators for differential equations with blow-up solutions.
Bibliographies: 'Additive equations' - Grafiati
$ As $\epsilon\to 0,$ the problem reduces to an index 1 differential algebraic equation provided $g_{z}(y,z)$ is invertible in a neighborhood of ...
Bibliographies: 'LAGRANGE MULTIPLIER TECHNIQUE' - Grafiati
For the linear case, the numerical technique results into a set of algebraic equations which can be solved using a direct or an iterative scheme ...
Bibliographies: 'Piecewise Linear Knapsack Problems' - Grafiati
Existence and uniqueness of the solutions and the truncation errors of the numerical calculations are also analysed. With the employment of a piecewise constant ...
Journal articles: 'Differentiable dynamical syste' - Grafiati
... constant and variable parameters, are ... piecewise linear aggregates, which can include processes described with differential equations.
Bibliographies: 'Laplace method' - Grafiati
We then combine it with the Laplace transform method, a well-established technique for solving ordinary and partial differential equations, in ...