Results 21 to 30 of about 327,222 (277)

Generalized Eigenproblem And Nonlinear Elliptic Equations With Nonlinear Boundary Conditions [PDF]

, 2012
We are concerned with the solvability of nonlinear second-order elliptic partial differential equations with nonlinear boundary conditions. We study the generalized Steklov-Robin eigenproblem (with possibly singular weights) in which the spectral ...
Mavinga, Nsoki
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Inverse problem for a Fredholm third order partial integro-differential equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

On reducing and finding solutions of nonlinear evolutionary equations via generalized symmetry of ordinary differential equations

Mathematical Biosciences and Engineering, 2022
We study symmetry reductions of nonlinear partial differential equations that can be used for describing diffusion processes in heterogeneous medium. We find ansatzes reducing these equations to systems of ordinary differential equations.
Ivan Tsyfra , Wojciech Rzeszut
doaj   +1 more source

Wave Solutions

, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
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The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations

Abstract and Applied Analysis, 2014
The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations.
S. S. Motsa, F. G. Awad, Z. G. Makukula, P. Sibanda   +3 more
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

Mathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj   +1 more source

Necessary and sufficient conditions for path-independence of Girsanov transformation for infinite-dimensional stochastic evolution equations [PDF]

, 2014
Based on a recent result on linking stochastic differential equations on ℝ d to (finite-dimensional) Burger-KPZ type nonlinear parabolic partial differential equations, we utilize Galerkin type finite-dimensional approximations to characterize the path ...
A Majda, A Majda, A Truman, A Truman, A Truman, A Truman, A Truman, B Øksendal, C M Dafermos, C Prévôt, D K Elworthy, D W Stroock, E M Stein, F -Y Wang, F Black, F Z Gong, G Prato Da, G Prato Da, H Spohn, J -L Wu, J B Walsh, J C Cox, J Krug, J M Burgers, J Smoller, J Yong, Jiang-Lun Wu, K Handa, M G Crandall, M I Freidlin, M P Kardar, Miao Wang, N Ikeda, P L Chow, P Malliavin, S Albeverio, S Hodges, S Hodges, W A Woyczynski, W H Fleming   +39 more
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The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

Results in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
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Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equations

, 2010
Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier, Lasserre, Jean-Bernard, Mevissen, Martin   +2 more
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Lie group classifications and exact solutions for time-fractional Burgers equation

, 2010
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska, G. Jmnarie, G.C. Wu, G.C. Wu, G.C. Wu, G.W. Bluman, Guo-Cheng Wu, P.J. Olver, R.K. Gazizov, Z.G. Deng   +9 more
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