Difference equations and nonexistence of solutions of an integral equation

被引：0

作者：

Stevic, Stevo ^{[1
]}

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期

关键词：

Difference equations; Nonexistence of solutions; Measurable space; Probability measure; Integral equation; BOUNDEDNESS CHARACTER; GLOBAL STABILITY; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; SYSTEM; EXISTENCE; XN+1;

D O I：

10.1016/j.amc.2012.08.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using difference equations, we give some easily applicable sufficient conditions for the non-existence of nonnegative solutions satisfying some additional conditions, of the integral equation f(x) = integral(x)(a(x, t) + b(x, t)vertical bar f(t)vertical bar(p))d mu(t,) where p >= 1 and X is a measurable space with probability measure mu. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1998 / 2003

页数：6

共 50 条

[31] ON THE DEGREE OF CONVERGENCE OF SOLUTIONS OF DIFFERENCE EQUATIONS TO SOLUTIONS OF THE HEAT EQUATION - PRELIMINARY REPORT
YOUNG, DM
JUNCOSA, ML
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (04) : 359 - 360
[32] 3-DIMENSIONAL MAGNETOTELLURIC MODELING USING DIFFERENCE-EQUATIONS - THEORY AND COMPARISONS TO INTEGRAL-EQUATION SOLUTIONS
MACKIE, RL
MADDEN, TR
WANNAMAKER, PE
GEOPHYSICS, 1993, 58 (02) : 215 - 226
[33] REPRESENTATIONS OF SOLUTIONS TO INTEGRAL-EQUATIONS WITH DIFFERENCE KERNELS ON THE UNIT DISK
GAUTESEN, AK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 112 (02) : 595 - 606
[34] Analytical solutions of some integral fractional differential-difference equations
Liu, Jian-Gen
Yang, Xiao-Jun
Feng, Yi-Ying
MODERN PHYSICS LETTERS B, 2020, 34 (01):
[35] On nonexistence of global solutions of a quasilinear riser equation
Esquivel-Avila, Jorge A.
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2018, 9 (03) : 195 - 203
[36] Nonexistence of positive solution of a class of nonlinear difference equation
Yang, J
Guan, XP
Liu, ST
APPLIED MATHEMATICS AND COMPUTATION, 2001, 119 (2-3) : 187 - 195
[37] NONEXISTENCE OF POSITIVE SOLUTION OF A CLASS OF NONLINEAR DIFFERENCE EQUATION
Lin Xiaoyan (Dept. of Math.
Annals of Differential Equations, 2005, (03) : 327 - 330
[38] A NONEXISTENCE RESULT OF POSITIVE SOLUTIONS FOR AN ELLIPTIC EQUATION
ZHENG, XM
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1990, 7 (02): : 91 - 96
[39] Existence and nonexistence of solutions for a generalized Boussinesq equation
Ying Wang
Boundary Value Problems, 2015
[40] Nonexistence of global solutions of a quasilinear hyperbolic equation
Bayrak, V
Can, M
Aliyev, F
MATHEMATICAL INEQUALITIES & APPLICATIONS, 1998, 1 (03): : 367 - 374

← 1 2 3 4 5 →