Results 31 to 40 of about 320,872 (183)
Higher-order differential operators having bivariate orthogonal polynomials as eigenfunctions
Results in Applied MathematicsWe introduce a systematic method for constructing higher-order partial differential equations for which bivariate orthogonal polynomials are eigenfunctions.
Misael E. Marriaga
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Mathematics, 2019 The first-order fuzzy differential equation has two possible solutions depending on the definition of differentiability. The definition of differentiability changes as the product of the function and its first derivative changes its sign.
Nadeem Salamat +2 more
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Проблемы анализа, 2019 In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
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Zero curvature conditions and conformal covariance [PDF]
, 1993 Two-dimensional zero curvature conditions with special emphasis on conformal properties are investigated in detail and the appearance of covariant higher order differential operators constructed in terms of a projective connection is elucidated.
Akemann, G, Grimm, R
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Operator relations characterizing higher-order differential operators
Acta Mathematica HungaricaLet $r$ be a positive integer, $N$ be a nonnegative integer and $Ω\subset \mathbb{R}^{r}$ be a domain. Further, for all multi-indices $α\in \mathbb{N}^{r}$, $|α|\leq N$, let us consider the partial differential operator $D^α$ defined by \[ D^α= \frac{\partial^{|α|}}{\partial x_{1}^{α_{1}}\cdots \partial x_{r}^{α_{r}}}, \] where $α= (α_{1}, \ldots, α_{r}
Fechner, W. +2 more
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Properties of higher-order half-linear functional differential equations with noncanonical operators [PDF]
, 2013 Some new results are presented for the oscillatory and asymptotic behavior of higher-order half-linear differential equations with a noncanonical operator. We study the delayed and advanced equations subject to various conditions.
Chenghui Zhang +3 more
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The Dirichlet problem for higher order equations in composition form [PDF]
, 2013 The present paper commences the study of higher order differential equations in composition form. Specifically, we consider the equation Lu=\Div B^*\nabla(a\Div A\nabla u)=0, where A and B are elliptic matrices with complex-valued bounded measurable ...
Barton, Ariel, Mayboroda, Svitlana
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Correctness conditions for high-order differential equations with unbounded coefficients
Boundary Value Problems, 2021 We give some sufficient conditions for the existence and uniqueness of the solution of a higher-order linear differential equation with unbounded coefficients in the Hilbert space.
Kordan N. Ospanov
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Classification of Multidimensional Darboux Transformations: First Order and Continued Type [PDF]
, 2017 We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type.
Hobby, David, Shemyakova, Ekaterina
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On Higher Order Positive Differential Energy Operator
, 2017 The higher order differential energy operator (DEO), denoted via $ _k(x)$, is an extension to the second order famous Teager-Kaiser operator. The DEO helps measuring the higher order gauge of energy of a signal which is useful for AM-FM demodulation. However, the energy criterion defined by the DEO is not compliant with the presumption of positivity ...
Javaheri, Amirhossein +1 more
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