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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Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation [PDF]
, 2012 We demonstrate the conjunction of new exponential-asymptotic effects in the context of a second order nonlinear ordinary differential equation with a small parameter.
A B Olde Daalhuis +6 more
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Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs [PDF]
, 2013 In this paper we prove an approximation result for the viscosity solution of a system of semi-linear partial differential equations with continuous coefficients and nonlinear Neumann boundary condition. The approximation we use is based on a penalization
Bahlali, Khaled +2 more
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The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation
Results in PhysicsDue 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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Periodic orbits near equilibria via averaging theory of second order
Mathematical Modelling and Analysis, 2012 Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral.
Luis Barreira +2 more
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Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
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Extended equation for description of nonlinear waves in liquid with gas bubbles
, 2013 Nonlinear waves in a liquid with gas bubbles are studied. Higher order terms with respect to the small parameter are taken into account in the derivation of the equation for nonlinear waves.
Kudryashov, Nikolai A. +1 more
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Abstract and Applied Analysis, 2012 The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
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Nonlinear differential equation with first order partial derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2018 The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
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Complexiton solutions to integrable equations [PDF]
, 2005 Complexiton solutions (or complexitons for short) are exact solutions newly introduced to integrable equations. Starting with the solution classification for a linear differential equation, the Korteweg-de Vries equation and the Toda lattice equation are
Ma, Wen-Xiu
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