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
In nonlinear systems, we know several bifurcations (i.e. Saddle-node, Pitchfork, Transcritical, and Hopf). The question is: does there exist a specific bifurcation that merges two "stable" limit...
10 October 2018 8,229 16 View
It seems I am not so familiar with definite integral being changed to differentials.Can anyone justify me how the T1,P1 values and the limits are being changed to simply T and P as given in the...
08 August 2018 3,152 3 View
What is the explanation using pde equations to demonstrate coupling 2 ode equations and spatiotemporal behavior? or what is the exact meaning of using pde in ode equations? does it related to the...
08 August 2018 3,933 11 View
Assume: du= f1(u,v).dx+f2(u,v).dy (1) dv= g1(u,v).dx+g2(u,v).dy (2) f1,f2, and, g1,g2 are continuous and known functions. We know further that implicitly h(u,v)=0 and hence we...
26 July 2018 6,588 9 View
We know that DEAs can be converted to ODE's in index reductiom method. What is disadvantages of this procedure from the numerical point of view? What we can say about the relations between...
28 April 2018 8,311 5 View
04 April 2018 10,260 3 View
Can we say something about solutions of the second order differential equations of the form: f′′+q(z)f′+p(z)f=0 where p and q are rational functions such that q(z)→0, z→∞
10 March 2018 448 4 View
03 March 2018 5,100 4 View
Hi, I'm looking for modeling approaches when the QSS/DAE approaches are not accurate enough in power system dynamics. For example when both "slower" dynamics as machine transients x' are...
02 February 2018 4,308 6 View
Hello, I am trying to solve a first order differential equation with non-constant coefficient. I am trying with Maple 18 to resolve this equation. But since I am a beginner in Maple, I am having...
02 February 2018 824 4 View
Dear all, I interested to join PhD on the upcoming notification, i very much confused about to chosen my topic on Differential Equations. So any one can refer the topic on that, it will also...
02 February 2018 10,085 21 View
What are the links between asymptotic and oscillatory behavior of solutions of Differential Equations. How they coincide ?
26 January 2018 1,418 20 View
01 January 2018 2,934 20 View
What is the relationship between symmetry groups of differential equations like in works P. Olver, L. Ovsyannikov, P. Winternitz and kinematical invariance groups like in works U. Niederer, C....
29 December 2017 4,991 9 View
laplace/fouriers transform and some techniques like operators/wronskian ... are useful in solving linear and nonlinear differential equations. however is any such techniques or transformation to...
15 December 2017 1,315 3 View
12 December 2017 8,524 9 View
12 December 2017 1,359 3 View
Are switched systems (with switchings in time) well posed (Hadamard) in the sense that the solution exists, is unique and continuously depends on initial conditions? Accurate references are...
11 November 2017 563 2 View
Quoting Castro et al 2017 "The model proposed by Tiecks et al. (1995) uses a second-order differential equation to predict the velocity signal V(t) corresponding to a relative pressure change...
11 November 2017 4,655 1 View
01 November 2017 8,577 1 View
I have faced an equation, an ordinary differential equation (ODE) with two variables Temperature (T) and Time (t). It is an equation which models battery temperature rise after its start of...
31 October 2017 7,726 8 View
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,...
29 September 2017 6,518 3 View
How and wich softwares be used to learn Partial Differential Equations; Differential and Integral Calculus and Differential Equations in Engineering University and Polytechnic Institutes?
21 September 2017 350 5 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.
15 September 2017 2,643 4 View