The study and application of differential equations in pure and applied mathematics, physics, meteorology, and engineering. | Contact experts in Differential Equations to get answers
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Questions related to Differential Equations
Assume that we have an analytic simple closed curve \gamma in the plane. Is there a polynomial vector field which is tangent to \gamma? I asked this question at MO,...
09 September 2017 3,427 3 View
if u be a harmonic function in sobolev space W^(1,p) (Omega) with zero trace (i.e; T(u)=0) and {Laplace operator} (u) =0, then u identically zero.
09 September 2017 3,103 4 View
F''(t)-(1/4/pi/T)*F0*F'(t)-(6/T^2)F(t)=0. If T approaches infinity then: Am I allowed to write the equation...
06 September 2017 2,942 36 View
I would like to derive the Navier Stokes Equation from three first order ordinary differential equations (shown in the attachment). I would be glad to have your expert opinions and suggestions.
05 May 2017 2,408 12 View
When solving a Sturm-Liouville problem, why the eigenfunctions are "square-integrable"? And why u(t,x) can always be "separated" to the form like u(t,x)=T(t)X(x)
02 February 2017 4,612 0 View
How did someone validate this idea?
02 February 2017 3,781 7 View
The current interpretation of photons can easily be disproved for the information messengers that can bridge long ranges. Long range information messengers can keep their integrity during very...
01 January 2017 7,602 25 View
Find the first integral of the following system: $x_1' = x_2 $ $x_2' = \mu x_1-x_1^3 $ where the first integral is a function such that $H'(x_1, x_2) = \frac{\partial H(x_1, x_2)}{\partial x1}...
01 January 2017 8,202 6 View
Hi everybody, Is there any try to use Numerical methods to approximate Nevanlinna characteristic for a meromorphic function, of even to giva an approximated order for a function that satisfies a...
12 December 2016 2,740 2 View
It is an analytical method for solving fractional order differential equations. Explain about the Mellin transform procedure?
11 November 2016 8,764 2 View
I guess it may be due to the presence of the Laplacian operator, but what is so special about it?
11 November 2016 9,559 0 View
Homotopy analysis method.
11 November 2016 9,517 3 View
Does there exist a function that is not well-defined but still consist or continue?
11 November 2016 9,628 0 View
solution of differential equation dx/dt=[(ax^2+bx+c)/(p-bt)]-q where a,b,c,p and q are constant?
11 November 2016 8,477 4 View
Is it true that using different definitions of the fractional derivatives leads to "different solutions" of a fde?
11 November 2016 9,017 14 View
What is the best or simplest reference, which says that a bounded subharmonic function can be extended over a condimension 2 subset?
10 October 2016 1,841 5 View
(d2x/dt2) -(a1−2a1x−b1y)(dx/dt)+ a1x(dy/dt)= 0, (d2 y/dt2 )−(1−x−b2 y−2y)(dy/dt)+ y(dx/dt)=0. I want to plot the diagram between (y, b2 ), (x,a1), (x, b1).
10 October 2016 4,218 0 View
I am a mathematics undergraduate in the last semester of my junior year. I am looking for research projects involving differential equations, topology, and abstract algebra and any combination...
10 October 2016 8,589 3 View
We are finding the solutions of first and sencond order ODE by classical methods. What about Classical methods for Delay differential Equations?
09 September 2016 10,094 4 View
Read 6 answers by scientists to the question asked by Elzaki Tarig on Sep 29, 2016
09 September 2016 9,660 5 View
where Green's function G=G(t) is given by: dG(t)/dt=AG+δI where δ is dirac delta function.
09 September 2016 2,071 1 View
How do I prove that a nth order differential equation has n linearly independent solutions?Also, how to prove that there is no possible solution other than those covered by the linear combination...
23 August 2016 4,475 9 View
Homogeneous differential equation with constant coefficients?
08 August 2016 7,425 1 View
There are many papers on the parabolic or elliptic differential equation with Hardy potential, or inverse square potential. Is it from some physics model? Or coudl this type equation descripe...
08 August 2016 8,650 2 View