Results 31 to 40 of about 297 (60)
On the eigenvalues of a biharmonic Steklov problem
, 2015 We consider an eigenvalue problem for the biharmonic operator with Steklov-type boundary conditions. We obtain it as a limiting Neumann problem for the biharmonic operator in a process of mass concentration at the boundary. We study the dependence of the
Buoso, Davide, Provenzano, Luigi
core +1 more source
Solution of a nonlinear partial differential equation with initial conditions
, 1974 The exact solution 0 of a particular nonlinear partial differential equation is obtained in terms of solution u of a related linear partial differential equation.
J. L. Reid, W. M. Pritchard
semanticscholar +1 more source
Journal of Ocean Engineering and Science, 2019 In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt +6 more
doaj
Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
core +1 more source
Analytic solutions for Hamilton-Jacobi-Bellman equations [PDF]
, 2017 Closed form solutions are found for a particular class of Hamilton- Jacobi-Bellman equations emerging from a differential game among fims competing over quantities in a simultaneous oligopoly framework.
Palestini, Arsen
core +1 more source
The Riccati System and a Diffusion-Type Equation [PDF]
, 2011 We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems.
Suazo, Erwin +2 more
core
Hydrodynamic reductions of the heavenly equation
, 2003 We demonstrate that Pleba\'nski's first heavenly equation decouples in infinitely many ways into a triple of commuting (1+1)-dimensional systems of hydrodynamic type which satisfy the Egorov property.
Boyer C P +22 more
core +1 more source
Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields
, 2008 We construct an explicit solution of the Cauchy initial value problem for the time-dependent Schroedinger equation for a charged particle with a spin moving in a uniform magnetic field and a perpendicular electric field varying with time.
A. Messia +39 more
core +1 more source
On The Harmonic Oscillator Group [PDF]
, 2011 We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable oscillator wave functions, which seems cannot be obtained by the standard
Lopez, Raquel M. +2 more
core
Cheng Equation: A Revisit Through Symmetry Analysis
, 2019 The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is given in terms of special functions.
Halder, Amlan K +3 more
core