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Start Over Subject Green's function

1. A refinement of the radial Pohozaev identity

Creator:
Catrina, Florin
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Green's function, positive solutions, and supercritical nonlinearity
Language:
English
Description:
In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. About differential inequalities for nonlocal boundary value problems with impulsive delay equations

Creator:
Domoshnitsky, Alexander and Volinsky, Irina
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
impulsive equation, nonlocal boundary value problem, Green's function, positivity of Green's function, negativity of Green's function, and estimates of solutions
Language:
English
Description:
We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green's functions allows us to get conclusions about the sign-constancy of Green's functions to given functional differential boundary value problems, using the technique of theorems about differential and integral inequalities and estimates of spectral radii of the corresponding compact operators in the space of essential bounded functions.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public