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Abstrakty
In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions. We discuss our problem with advanced argument α and arbitrary β ∈ C([0,1],[0,1]), see problem (2). It means that argument β can change the character on [0,1], so β can be delayed in some set J¯⊂ [0,1] and advanced in [0,1] \ J¯. Four examples illustrate the main results
Wydawca
Rocznik
Tom
Strony
85--98
Opis fizyczny
Bibliogr. 36 poz.
Twórcy
autor
- Department of Differential Equations and Applied Mathematics Gdansk University of Technology Narutowicza 11/12, 80-233 Gdansk, Poland
Bibliografia
- [1] Anderson D R 2002 J. Math. Anal. Appl. 267 135
- [2] Anderson D R 2003 J. Math. Anal. Appl. 288 1
- [3] Avery R I and Peterson A C 2001 Comput. Math. Appl. 42 313
- [4] Bai Z, Wang Y and Ge W 2004 Electron. J. Differential Equations 6
- [5] Graef J R and Webb J R L 2009 Nonlinear Anal. 71 1542
- [6] Infante G and Pietramala P 2009 Nonlocal impulsive boundary value problems with solutions that change sign, Proceedings of the International Conference on Boundary Value Problems (edited by Cabada A, Liz E and Nieto J J) 205
- [7] Infante G, Pietramala P and Zima M 2010 Topol. Methods Nonlinear Anal. 36 263
- [8] Jankowski T 2008 Appl. Math. Comput. 197 179
- [9] Jankowski T 2009 Appl. Math. Comput. 215 125
- [10] Jankowski T 2009 Comput. Math. Appl. 58 805
- [11] Jankowski T 2010 Dynam. Systems Appl. 19 179
- [12] Jankowski T 2011 Dynam. Systems Appl. 20 575
- [13] Jankowski T 2011 Nonlinear Anal. 74 3775
- [14] Jankowski T 2012 Nonlinear Anal. 75 913
- [15] Jankowski T 2013 Boundary Value Problems 8
- [16] Jankowski T 2014 Proc. Roy. Soc. Edinburgh Section A 144 119
- [17] Jiang J, Liu L and Wu Y 2012 Abstr. Appl. Anal., Art. ID 696283
- [18] Karakostas G L and Tsamatos P Ch 2002 Appl. Math. Lett. 15 401
- [19] Karakostos G L and Tsamatos P Ch 2002 Topol. Methods Nonlinear Anal. 19 109
- [20] Li Y, Guo Y and Li G 2009 Commun. Nonlinear. Sci. Numer. Simul. 14 3792
- [21] Lifei Z and Yongkun L 2003 Appl. Math. J. Conese Univ. Ser. B 18 383
- [22] Ma R 1998 Nonlinear Anal. 32 493
- [23] Sakamoto T and Tanaka S 2010 Acta Mat. Hungar. 127 17
- [24] Sun B, Ge W and Zhao D 2007 Math. Comput. Modelling 45 1170
- [25] Sun Y 2005 J. Math. Anal. Appl. 306 589
- [26] Wang W and Chen X 2011 Differ. Equ. Dyn. Syst. 19 375
- [27] Wang Z and Zhang J 2006 J. Math. Anal. Appl. 314 618
- [28] Webb J R L 2001 Nonlinear Anal. 47 4519
- [29] Webb J R L and Infante G 2006 J. London Math. Soc. 74 673
- [30] Webb J R L and Infante G 2008 NoDEA Nonlinear Differential Equations Appl. 15 45
- [31] Webb J R L and Infante G 2009 J. London Math. Soc. 79 238
- [32] Webb J R L and Zima M 2009 Nonlinear Anal. 71 1369
- [33] Yan B, O’Regan D and Agarwal R P 2007 Aequationes Math. 74 62
- [34] Yang L, Liu X and Jia M 2006 J. Math. Anal. Appl. 324 532
- [35] Yang C, Zhai C and Yan J 2006 Nonlinear Anal. 65 2013
- [36] Yao Q 2003 Acta Math. Appl. Sin. 19 117
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8be2dc96-85ef-47fa-936d-5c3a80fe9697