Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: blowing up solutions

Sortuj według:

Ogranicz wyniki do:

A singular initial value problem for second and third order differential equations

100%

Mydlarczyk W.

Colloquium Mathematicum

1995

tom 68

nr 2

249-257

Existence and nonexistence of solutions for a model of gravitational interaction of particles, III

100%

Biler P.

Colloquium Mathematicum

1995

tom 68

nr 2

229-239

A singular initial value problem for the equation $u^{(n)}(x) = g(u(x))$

80%

Mydlarczyk W.

Annales Polonici Mathematici

1998

tom 68

nr 2

177-189

We consider the problem of the existence of positive solutions u to the problem $u^{(n)}(x) = g(u(x))$, $u(0) = u'(0) = ... = u^{(n-1)}(0) = 0$ (g ≥ 0,x > 0, n ≥ 2). It is known that if g is nondecreasing then the Osgood condition $∫₀^δ 1/s [s/g(s)]^{1/n} ds < ∞$ is necessary and sufficient for the existence of nontrivial solutions to the above problem. We give a similar condition for other classes of functions g.

Ograniczanie wyników

2 Colloquium Mathematicum

1 Annales Polonici Mathematici

2 Mydlarczyk W.

1 Biler P.

1 1998

2 1995

Wyniki wyszukiwania

A singular initial value problem for second and third order differential equations

Existence and nonexistence of solutions for a model of gravitational interaction of particles, III

A singular initial value problem for the equation $u^{(n)}(x) = g(u(x))$