Results 21 to 30 of about 1,725,128 (187)
Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]
, 2009 A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin +12 more
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Measure Differential Equations [PDF]
Archive for Rational Mechanics and Analysis, 2019 25 ...
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BERNULLI DIFFERENTIAL EQUATION AND CHAOS
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 Existence conditions of homoclinic orbits for some systems of ordinary quadratic differential equations with singular linear part are founded. A realization of these conditions guarantees the existence of chaotic attractors at 3-D autonomous quadratic ...
V. Ye. Belozerov
doaj +1 more source
On a complex differential Riccati equation [PDF]
, 2007 We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S +28 more
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On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions
Abstract and Applied Analysis, 2015 We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function.
Zhengxin Zhou
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A problem with parameter for the integro-differential equations
Mathematical Modelling and Analysis, 2021 The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova +2 more
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Gravitating fluids with Lie symmetries
, 2010 We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi +9 more
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Two problems in the theory of differential equations
, 2019 1) The differential equation considered in terms of exterior differential forms, as \'E.Cartan did, singles out a differential ideal in the supercommutative superalgebra of differential forms, hence an affine supervariety. In view of this observation, it
Leites, Dimitry
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, 2022 Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian +1 more
openaire +3 more sources