Positive solutions of equations with nonlinear causal mappings

Michael I. Gil

doi:10.1007/s11117-007-2076-8

Positive solutions of equations with nonlinear causal mappings

Michael I. Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We consider nonlinear scalar equations with causal mappings. These equations include differential, differential-delay, integral, integro-differential, difference and other traditional equations. Conditions that provide the existence of positive solutions are established. The suggested approach enables us to consider various classes of equations from the unified point of view.

Original language	English
Pages (from-to)	523-535
Number of pages	13
Journal	Positivity
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/s11117-007-2076-8
State	Published - 1 Aug 2007

Keywords

Causal mappings
Difference equations with continuous time
Differential equations
Functional differential equations
Positive solutions

ASJC Scopus subject areas

Theoretical Computer Science
Analysis
General Mathematics

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10.1007/s11117-007-2076-8

Cite this

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title = "Positive solutions of equations with nonlinear causal mappings",

abstract = "We consider nonlinear scalar equations with causal mappings. These equations include differential, differential-delay, integral, integro-differential, difference and other traditional equations. Conditions that provide the existence of positive solutions are established. The suggested approach enables us to consider various classes of equations from the unified point of view.",

keywords = "Causal mappings, Difference equations with continuous time, Differential equations, Functional differential equations, Positive solutions",

author = "Gil, {Michael I.}",

note = "Funding Information: ∗ This research was supported by the Kamea Fund of the Israel.",

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AB - We consider nonlinear scalar equations with causal mappings. These equations include differential, differential-delay, integral, integro-differential, difference and other traditional equations. Conditions that provide the existence of positive solutions are established. The suggested approach enables us to consider various classes of equations from the unified point of view.

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KW - Difference equations with continuous time

KW - Differential equations

KW - Functional differential equations

KW - Positive solutions

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Positive solutions of equations with nonlinear causal mappings

Abstract

Keywords

ASJC Scopus subject areas

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