Solvability of nonlinear equations in a cone of a Banach space
type: Item
instance of: scholarly article
title: Solvability of nonlinear equations in a cone of a Banach space
zbMATH Open document ID: 0977.47053
author: M. N. Yakovlev
published in: Journal of Mathematical Sciences (New York)
publication date: 2001-02-05T00:00:00Z
review text: The author finds a solvability conditions for the equation \(Tu+ F(u)= 0\) in the case where the operator \([T+ F'(u)]^{-1}\) exist only for \(u\in K\), where \(K\) is a cone in a Banach space \(X\). He gives an application concerning the solvability of boundary-value problems for systems of second-order differential equations.
reviewed by: Ulrich Kosel
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1550627
zbMATH Keywords: solvability conditions
zbMATH Keywords: cone in a Banach space
zbMATH Keywords: boundary-value problems
zbMATH Keywords: systems of second-order differential equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1550627