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Applicable Analysis
An International Journal
Volume 36, 1990 - Issue 1-2
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Original Articles

Nonlinear boundary value problems for first order impulsive integro-differential equations

Xinzhi Liu Department of Mathematics, University of Alberta, Edmonton, T6G 2G1, Canada
Pages 119-130 | Received 06 Sep 1989, Published online: 02 May 2007

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Xu Xian, Wang Bingjin & Donal O'Regan. (2008) Multiple solutions for sub-linear impulsive three-point boundary value problems. Applicable Analysis 87:9, pages 1053-1066.
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M. V. Moorthy, S. Sathananthan & G. S. Ladde. (1995) Periodic boundary value problems for second order impulsive integro-differential equations of volterra type. Applicable Analysis 58:3-4, pages 187-197.
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Articles from other publishers (21)

Grienggrai Rajchakit, Praveen Agarwal & Sriraman RamalingamGrienggrai Rajchakit, Praveen Agarwal & Sriraman Ramalingam. 2021. Stability Analysis of Neural Networks. Stability Analysis of Neural Networks 1 30 .
Yuji Liu. (2009) A survey and some new results on the existence of solutions of IPBVPS for first order functional differential equations. Applications of Mathematics 54:6, pages 527-549.
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ZHAOPING HU & MAOAN HAN. (2011) PERIODIC SOLUTIONS AND BIFURCATIONS OF FIRST-ORDER PERIODIC IMPULSIVE DIFFERENTIAL EQUATIONS. International Journal of Bifurcation and Chaos 19:08, pages 2515-2530.
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Yuji Liu. (2009) Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations. Nonlinear Analysis: Theory, Methods & Applications 70:5, pages 2106-2122.
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Eric R. Kaufmann. (2009) Impulsive Periodic Boundary Value Problems for Dynamic Equations on Time Scale. Advances in Difference Equations 2009, pages 1-10.
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Da-Bin Wang. (2008) Positive solutions for nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales. Computers & Mathematics with Applications 56:6, pages 1496-1504.
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Xu Xian, Donal O'Regan & R. P. Agarwal. (2008) Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions. Boundary Value Problems 2008, pages 1-21.
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A. Cabada & S. Heikkilä. (2007) Existence results for discontinuous functional differential systems. Applied Mathematics and Computation 188:2, pages 1251-1259.
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Yuji Liu. (2007) Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations. Journal of Mathematical Analysis and Applications 327:1, pages 435-452.
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Jianli Li, Juan J. Nieto & Jianhua Shen. (2007) Impulsive periodic boundary value problems of first-order differential equations. Journal of Mathematical Analysis and Applications 325:1, pages 226-236.
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Dajun Guo. (2006) Extremal solutions for th-order impulsive integro-differential equations on the half-line in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 65:3, pages 677-696.
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Dajun Guo. (2005) Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 63:4, pages 618-641.
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Dajun Guo. (2005) Multiple positive solutions for th-order impulsive integro-differential equations in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 60:5, pages 955-976.
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Dajun Guo. (2004) Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in a Banach space. Nonlinear Analysis: Theory, Methods & Applications 56:7, pages 985-1006.
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M Benchohra, J Henderson, S.K Ntouyas & A Ouahab. (2004) Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions. Computers & Mathematics with Applications 47:6-7, pages 1069-1078.
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Dajun Guo. (2002) A class of nth-order impulsive integrodifferential equations in Banach spaces. Computers & Mathematics with Applications 44:10-11, pages 1339-1356.
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Li Yong, Cong Fuzhong & Lin Zhanghua. (1997) Boundary value problems for impulsive differential equations. Nonlinear Analysis: Theory, Methods & Applications 29:11, pages 1253-1264.
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Juan J. Nieto. (1997) Basic Theory for Nonresonance Impulsive Periodic Problems of First Order. Journal of Mathematical Analysis and Applications 205:2, pages 423-433.
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Juan J. Nieto. 1996. World Congress of Nonlinear Analysts '92. World Congress of Nonlinear Analysts '92 407 416 .
Marlène Frigon & Donal O'Regan. (1996) Impulsive differential equations with variable times. Nonlinear Analysis: Theory, Methods & Applications 26:12, pages 1913-1922.
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E. Liz & J. J. Nieto. (1996) Boundary value problems for impulsive first order integro-differential equations of Fredholm type. Acta Mathematica Hungarica 71:1-2, pages 155-170.
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