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Linearized comparison criteria for a nonlinear neutral differential equation

100%

Guan X., Cheng S.

Annales Polonici Mathematici

1996

tom 64

nr 2

161-173

A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.

On a semilinear elliptic eigenvalue problem

100%

Coclite M.

Annales Polonici Mathematici

1997

tom 67

nr 3

289-295

We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, $u|_{∂Ω} = 0$, where f(x) and h(u) satisfy minimal regularity assumptions.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Cheng S.

1 Coclite M.

1 Guan X.

1 1997

1 1996

Wyniki wyszukiwania

Linearized comparison criteria for a nonlinear neutral differential equation

On a semilinear elliptic eigenvalue problem