Impulsive functional integro-differential equations;
Upper and lower solutions;
Monotone iterative technique;
Minimal and maximal solutions;
MONOTONE ITERATIVE TECHNIQUE;
INITIAL-VALUE PROBLEMS;
PERIODIC-SOLUTIONS;
PULSE VACCINATION;
GLOBAL ATTRACTIVITY;
EPIDEMIC MODEL;
1ST-ORDER;
D O I:
10.1016/j.nahs.2009.03.007
中图分类号:
TP [自动化技术、计算机技术];
学科分类号:
0812 ;
摘要:
We discuss the existence of minimal and maximal solutions for a class of first order nonlinear impulsive functional integro-differential equations of mixed type with antiperiodic boundary conditions. The main tool of study is the monotone iterative technique. (C) 2009 Elsevier Ltd. All rights reserved.
机构:
King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Ahmad, Bashir
Alruwaily, Ymnah
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机构:
King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Alruwaily, Ymnah
Alsaedi, Ahmed
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机构:
King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Alsaedi, Ahmed
Nieto, Juan J.
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机构:
Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, Inst Matemat, Santiago De Compostela 15782, SpainKing Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
机构:
Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R ChinaGuangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R China