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Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in $$ {\mathbb {C}}^2 $$

Analysis and Mathematical Physics, 2022
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Goutam Haldar, Molla Basir Ahamed
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C∞ functions in infinite dimension and linear partial differential difference equations with constant coefficients

Results in Mathematics, 1983
In this paper the authors prove existence and approximation results for solutions of linear partial differential-difference equations with constant coefficients in the space \({\mathbb{E}}(E)\), which is a dense linear subspace of the space of the Silva \(C^{\infty}\)-functions on a nuclear locally convex space E introduced and studied by \textit{J. F.
Ansemil, J. M., Perrot, B.
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A differential-difference technique for the hybrid computer solution of parabolic partial differential equations

Mathematics and Computers in Simulation, 1975
A differential-difference technique for the hybrid computer solution of parabolic partial differential equations with nonlinear terms is described. A theoretical analysis of the computational stability, convergence and accuracy of the technique is presented, showing that the method has certain important advantages over classical finite difference ...
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Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$

Complex Analysis and Operator Theory
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Mandal, Sanju, Ahamed, Molla Basir
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Differential and differential-difference inequalities related to mixed problems for first order partial differential-functional equations

1992
This paper presents a new approach for the solution of differential and differential-difference inequalities for PDE. It is proposed a very general difference operator which is defined as a weighted value related to 2 points of the mesh and also a discrete version comparison theorem. Applications of the present results to convergence are also presented.
BRANDI, Primo   +2 more
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