Results 31 to 40 of about 626,225 (308)
Quintic B-spline method for time-fractional superdiffusion fourth-order differential equation
The main objective of this paper is to obtain the approximate solution of superdiffusion fourth-order partial differential equations. Quintic B-spline collocation method is employed for fractional differential equations (FPDEs).
S. Arshed
semanticscholar +1 more source
Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
core +2 more sources
Comparison theorems for fourth order differential equations [PDF]
This paper establishes an apparently overlooked relationship between the pair of fourth order linear equations yiv − p(x)y = 0 and yiv + p(x)y = 0, where p is a positive, continuous function defined on [0, ∞). It is shown that if all solutions of the first equation are nonoscillatory, then all solutions of the second equation must be nonoscillatory as ...
Garret J. Etgen, Willie E. Taylor
openaire +3 more sources
Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
this paper studied the bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found.
M.J. Mohammed
doaj +4 more sources
The Dirichlet problem for higher order equations in composition form [PDF]
The present paper commences the study of higher order differential equations in composition form. Specifically, we consider the equation Lu=\Div B^*\nabla(a\Div A\nabla u)=0, where A and B are elliptic matrices with complex-valued bounded measurable ...
Barton, Ariel, Mayboroda, Svitlana
core +1 more source
Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
Barakah Almarri +3 more
doaj +1 more source
Lyapunov′s Type Inequalities for Fourth‐Order Differential Equations [PDF]
For a fourth‐order differential equation, we will establish some new Lyapunov‐type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its derivatives.
openaire +3 more sources
Normal form for travelling kinks in discrete Klein-Gordon lattices
We study travelling kinks in the spatial discretizations of the nonlinear Klein--Gordon equation, which include the discrete $\phi^4$ lattice and the discrete sine--Gordon lattice.
Aigner +27 more
core +2 more sources
In his seminal part IV, Annalen der Physik vol. 81, 1926 paper, Schrödinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion relation for matter-waves and he first presents a real-valued wave ...
Nicos Makris
doaj +1 more source
A new method is presented for Fourier decomposition of the Helmholtz Green Function in cylindrical coordinates, which is equivalent to obtaining the solution of the Helmholtz equation for a general ring source.
A. Erdélyi +18 more
core +1 more source

