Heat polynomial analogues for equations with higher order time derivatives
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Publication:596756
DOI10.1016/j.jmaa.2004.03.039zbMath1065.35095OpenAlexW2074410210MaRDI QIDQ596756
Alexander Stanoyevitch, Gerald N. Hile
Publication date: 10 August 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.039
Related Items (6)
The differential-symbol method of solving the two-point problem with respect to time for a partial differential equation ⋮ The differential-symbol method of solving the problem two-point in time for a nonhomogeneous partial differential equation ⋮ The differential-symbol method of constructing the quasi-polynomial solutions of two-point problem ⋮ On the nonexistence conditions of solution of two-point in time problem for nonhomogeneous PDE ⋮ The differential-symbol method of constructing the quasipolynomial solutions of two-point in time problem for nonhomogeneous partial differential equation ⋮ Differential-symbol method of constructing the quasipolynomial solutions of a two-point problem for a partial differential equation
Cites Work
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- Analogous function theories for the heat, wave, and Laplace equations
- Series expansions of solutions of the heat equation in \(n\) dimensions
- Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
- Analytic solutions for a class of PDE's with constant coefficients
- A representation theory for solutions of a higher order heat equation. I
- A representation theory for solutions of a higher order heat equation. II
- Continuity of polynomial solutions with respect to the coefficient of the higher derivative
- A basis for polynomial solutions to systems of linear constant coefficient PDE's
- \(L^ 2\) expansions in terms of generalized heat polynomials and of their Appell transforms
- Generalized temperature functions
- Expansion in series of homogeneous temperature functions of the first and second kinds
- Expansions of solutions of certain hyperbolic and elliptic problems in terms of Jacobis polynomials
- Series expansions and integral representations of generalized temperatures
- Expansions in terms of Laguerre heat polynomials and of their temperature transforms
- Expansions in Terms of Heat Polynomials and Associated Functions
- Homogeneous Generalized Temperatures
- Polynomial Expansions for Solutions of $D_x^r u(x,t) = D_t u(x,t),r = 2,3,4, \cdots $
- Polynomial Solutions to Constant Coefficient Differential Equations
- On one set of orthogonal harmonic polynomials
- A function theory for finding a basis for all polynomial solutions to linear constant coefficient pde's of homogeneous order
- The behavior of the heat operator on weighted Sobolev spaces
- The Radial Heat Polynomials and Related Functions
- Series Expansions of Generalized Temperature Functions in N Dimensions
- Series Representation of Generalized Temperature Functions
- Polynomial expansions of solutions of .
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