On unbounded solutions for differential equations with mean curvature operator

DOŠLÁ, Zuzana; Mauro MARINI and Serena MATUCCI. On unbounded solutions for differential equations with mean curvature operator. Czechoslovak Mathematical Journal. SPRINGER HEIDELBERG, 2025, vol. 75, No 1, p. 215-234. ISSN 0011-4642. Available from: https://doi.org/10.21136/CMJ.2023.0111-23.

Basic information

Original name

On unbounded solutions for differential equations with mean curvature operator

Authors

DOŠLÁ, Zuzana (203 Czech Republic, belonging to the institution); Mauro MARINI and Serena MATUCCI

Edition

Czechoslovak Mathematical Journal, SPRINGER HEIDELBERG, 2025, 0011-4642

---

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 0.500 in 2024

Organization unit

Faculty of Science

DOI

https://doi.org/10.21136/CMJ.2023.0111-23

UT WoS

001100620300001

EID Scopus

2-s2.0-85176604077

Keywords in English

nonlinear differential equation; curvatore operator; boundary value problem on the half line; fixed point theorem; unbounded solution

Tags

rivok

Tags

International impact, Reviewed

---

Abstract

In the original language

We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.