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The nonlinear wave equation as a Liénard equation
Funkcialaj Ekvacioj, 1991In the study of the asymptotic behavior of solutions to the equation \[ u_{tt}+f(u)u_t+g(u)=0, \] where \(f,g\in C^0\), \(f(u)>0\) and \(ug(u)>0\) for \(u\neq 0\), much of the investigation was carried out by means of Lyapunov's direct method and the natural Lyapunov function for the equation is \(V_1(t):= 2\int_0^u g(s)\,ds+u_t^2\).
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On Popovski’s method for nonlinear equations
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the nonlinear equations of thermo-electroelasticity
International Journal of Engineering Science, 1971Abstract The differential equations and boundary conditions describing the behavior of an electrically polarizable, finitely deformable, heat conducting continuum in interaction with the electric field are derived by means of a systematic application of the laws of continuum physics to a macroscopic model consisting of an electronic charge continuum ...
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An iterative method for solving nonlinear functional equations
Journal of Mathematical Analysis and Applications, 2006Hossein Jafari, Varsha Daftardar-Gejji
exaly
A third-order Newton-type method to solve systems of nonlinear equations
Applied Mathematics and Computation, 2007M T Darvishi
exaly
On the integrability of linear and nonlinear partial differential equations
Journal of Mathematical Physics, 2000Athanassios S Fokas
exaly
A new approach to nonlinear partial differential equations
Communications in Nonlinear Science and Numerical Simulation, 1997Ji-Huan He
exaly

