Representation of solutions of linear partial differential equations in the form of finite sums

1976 ◽  
Vol 20 (3) ◽  
pp. 760-763 ◽  
Author(s):  
S. S. Titov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Representation Of Solutions ◽  
Finite Sums

scholarly journals Explicit solutions for partial differential equations of Lord-Shulman thermoelasticity

2009 ◽  
Vol 36 (2) ◽  
pp. 137-156
Author(s):  
A. Rodionov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Explicit Solutions ◽  
Partial Differential ◽  
Relaxation Constant ◽  
Linear Partial Differential Equations ◽  
Finite Sums

We consider the Lord-Shulman model of thermoelasticity with one relaxation constant. The corresponding system of four linear partial differential equations is solved by means of holomorphic expansions. We prove the convergence of expansions and study the possibility to convert them in finite sums.

Lyapunov-type inequalities for partial differential equations with 𝑝-Laplacian

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Robert Stegliński
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Nonlinear Partial Differential Equations ◽  
Dirichlet Boundary Conditions ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Lyapunov Inequalities ◽  
Funct Anal

Abstract The aim of this paper is to extend results from [A. Cañada, J. A. Montero and S. Villegas, Lyapunov inequalities for partial differential equations, J. Funct. Anal. 237 (2006), 1, 176–193] about Lyapunov-type inequalities for linear partial differential equations to nonlinear partial differential equations with 𝑝-Laplacian with zero Neumann or Dirichlet boundary conditions.

Lectures on Cauchy's Problem in Linear Partial Differential Equations

1924 ◽  
Vol 12 (171) ◽  
pp. 173
Author(s):  
P. J. Daniell ◽  
J. Hadamard
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Linear Partial Differential Equations
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