Results 221 to 230 of about 87,373,027 (240)

PRINCIPLE OF STRUCTURAL ANALOGY OF SOLUTIONS AND ITS APPLICATION TO NONLINEAR PDEs AND DELAY PDEs [PDF]

Journal of Mathematical Sciences
Using the principle of structural analogy of solutions, approaches have been developed for constructing exact solutions of complex nonlinear PDEs, including PDEs with delay, based on the use of special solutions to auxiliary simpler related equations. It
Andrei Polyanin
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Corrected fundamental solution for numerical solution of elliptic PDEs

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehrzad Ghorbani, Ali Reza Soheili
openaire   +1 more source

Stochastic variational formula for fundamental solutions of parabolic PDE

Applied Mathematics & Optimization, 1985
Let us consider a solution of the parabolic PDE \[ \partial g/\partial t=\Delta g+b(x)\nabla g,\quad t>0,\quad g(x,0)=g^ 0(x)>0. \] Under suitable hypotheses it is known [\textit{W. H. Fleming}, Appl. Math. Optimization 4, 329-346 (1978; Zbl 0398.93068)] that \(I(T,x)=-\log g(T,x)\) is the optimal cost of the stochastic control problem: \[ \min imize ...
Fleming, Wendell H., Sheu, Sheunnjyi
openaire   +1 more source

Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions

Mathematics, 2021
Andrei Polyanin, Alexander Aksenov
exaly  

A method for constructing exact solutions of nonlinear delay PDEs

Journal of Mathematical Analysis and Applications, 2021
Andrei Polyanin, Vsevolod Sorokin
exaly  

Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy

Mathematics, 2021
Andrei Polyanin, Vsevolod Sorokin
exaly  

New exact solutions of nonlinear wave type PDEs with delay

Applied Mathematics Letters, 2020
Andrei Polyanin, Vsevolod Sorokin
exaly  

Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays

Mathematics, 2023
Andrei Polyanin, Vsevolod Sorokin
exaly  

Comparison of Viscosity Solutions of Semilinear Path-Dependent PDEs

SIAM Journal on Control and Optimization, 2020
Jianfeng Zhang, Zhenjie Ren
exaly  

Comparison of Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Path-Dependent PDEs

SIAM Journal on Mathematical Analysis, 2017
Jianfeng Zhang, Zhenjie Ren
exaly