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An initial value problem fora third order differential equation

100%

Mydlarczyk W.

Annales Polonici Mathematici

1994

tom 59

nr 3

215-223

For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.

Generic properties of generalized hyperbolic partial differential equations

80%

Bielawski D.

Annales Polonici Mathematici

1994

tom 59

nr 2

107-115

The existence and uniqueness of solutions and convergence of successive approximations are considered as generic properties for generalized hyperbolic partial differential equations with unbounded right-hand sides.

Qualitative behavior of a class of second order nonlinear differential equations on the halfline

61%

Staněk S.

Annales Polonici Mathematici

1993

tom 58

nr 1

65-83

A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

On positive solutions of a class of second order nonlinear differential equations on the halfline

61%

Staněk S.

Annales Polonici Mathematici

1995

tom 62

nr 2

123-142

The differential equation of the form $(q(t)k(u)(u')^a)' = f(t)h(u)u'$, a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u'(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

Nonnegative solutions of a class of second order nonlinear differential equations

61%

Staněk S.

Annales Polonici Mathematici

1992

tom 57

nr 1

71-82

A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.

Ograniczanie wyników

5 Annales Polonici Mathematici

3 Staněk S.

1 Bielawski D.

1 Mydlarczyk W.

1 1995

2 1994

1 1993

1 1992

Wyniki wyszukiwania

An initial value problem fora third order differential equation

Generic properties of generalized hyperbolic partial differential equations

Qualitative behavior of a class of second order nonlinear differential equations on the halfline

On positive solutions of a class of second order nonlinear differential equations on the halfline

Nonnegative solutions of a class of second order nonlinear differential equations