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Results tagged with differential-equations
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user 8245
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
0
votes
1
answer
2k
views
Existence of solutions for differential equations
While learning differential equations, I was reading some notes, and it was mentioned that for Dirichlet BVP
$$x'' = f (t, x), \quad x(0) = 0 = x(1).$$ Suppose $f : [0, 1] \times \mathbb{R}\to \mathbb …
- 169
0
votes
1
answer
281
views
Finding fixed points for BVP
While learning BVP, I came across a problem. It was mentioned that given the below left-focal BVP, a fixed–point problem can be formed for the system.
$$
\begin{cases}
x'' = f (t, x), \\
x(0) = 0, \\x( …
- 169
2
votes
2
answers
477
views
Specific Dirichlet BVP solutions
Hi All,
I am learning Differential Equations, and came across a specific problem of Dirichlet BVP, which says that:
Given x'' = f(x'), x(0) = 0 = x(1), If f(0) $\neq $ 0 and f has two zeros of oppos …
- 169