The differential-symbol method of constructing the quasipolynomial solutions of two-point in time problem for nonhomogeneous partial differential equation
DOI10.3906/mat-1901-17zbMath1420.35014OpenAlexW2947346518WikidataQ115219430 ScholiaQ115219430MaRDI QIDQ5229837
P. Ya. Pukach, V. S. Il'kiv, Zinovii Mykolaiovych Nytrebych, Oksana Mykhailivna Malanchuk
Publication date: 19 August 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1901-17
second order in timecharacteristic determinantdifferential-functional equationtwo-point in time conditions
Partial functional-differential equations (35R10) Other special methods applied to PDEs (35A25) PDEs of infinite order (35R50)
Cites Work
- Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables
- Heat polynomial analogues for equations with higher order time derivatives
- An operator method of solving the Cauchy problem for a homogeneous system of partial differential equations
- The Vallée-Poussin problem for higher order nonlinear hyperbolic equations
- Polynomial solutions of partial differential equations
- The differential-symbol method of solving the problem two-point in time for a nonhomogeneous partial differential equation
- A basis for polynomial solutions to systems of linear constant coefficient PDE's
- The differential-symbol method of solving the two-point problem with respect to time for a partial differential equation
- Construction of polynomial solutions to some boundary value problems for Poisson’s equation
- New Dirac delta function based methods with applications to perturbative expansions in quantum field theory
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