Non-existence of global solution for a nonlinear integro-differential inequality

Sehrish Javed; Mokhtar Kirane; Salman A. Malik

doi:10.1002/mma.9376

Non-existence of global solution for a nonlinear integro-differential inequality

Sehrish Javed
, Mokhtar Kirane
, Salman A. Malik

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

Abstract

Nonlinear integro-differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non-existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.

Original language	British English
Pages (from-to)	15259-15269
Number of pages	11
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	14
DOIs	https://doi.org/10.1002/mma.9376
State	Published - 30 Sep 2023

Keywords

blow-up
nonlinear differential equations
test function method

Access to Document

10.1002/mma.9376

Cite this

@article{e3ecc79fea77497f989bc87a2be8aea6,

title = "Non-existence of global solution for a nonlinear integro-differential inequality",

abstract = "Nonlinear integro-differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non-existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.",

keywords = "blow-up, nonlinear differential equations, test function method",

author = "Sehrish Javed and Mokhtar Kirane and Malik, \{Salman A.\}",

note = "Publisher Copyright: {\textcopyright} 2023 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley \& Sons Ltd.",

year = "2023",

month = sep,

day = "30",

doi = "10.1002/mma.9376",

language = "British English",

volume = "46",

pages = "15259--15269",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "14",

}

TY - JOUR

T1 - Non-existence of global solution for a nonlinear integro-differential inequality

AU - Javed, Sehrish

AU - Kirane, Mokhtar

AU - Malik, Salman A.

PY - 2023/9/30

Y1 - 2023/9/30

N2 - Nonlinear integro-differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non-existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.

AB - Nonlinear integro-differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non-existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.

KW - blow-up

KW - nonlinear differential equations

KW - test function method

UR - https://www.scopus.com/pages/publications/85160073197

U2 - 10.1002/mma.9376

DO - 10.1002/mma.9376

M3 - Article

AN - SCOPUS:85160073197

SN - 0170-4214

VL - 46

SP - 15259

EP - 15269

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 14

ER -

Non-existence of global solution for a nonlinear integro-differential inequality

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this