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Abstrakty
This work is devoted to the existence of solutions for a system of nonlocal resonant boundary value problem x''=f(t,x), x' (0)=0, x' (1)-∫10 x(s)dg(s), where f ∶ [0,1] × Rk → Rk is continuous and g ∶ [0,1] → Rk is a function of bounded variation.
Czasopismo
Rocznik
Tom
Strony
143--153
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
- Institute of Mathematics, Łódź University of Technology
Bibliografia
- [1] Cui Y., Solvability of second-order boundary-value problems at resonance involving integral conditions, Electron. J. Differential Equations, 45(2012), 1-9.
- [2] Feng M., Ge W., Zhang X., Existence result of second-order differential equations with integral boundary conditions at resonance, J. Math. Anal. Appl., 353(2009), 311-319.
- [3] Franco D., Infante G., Zima M., Second order nonlocal boundary value problems at resonance, Math. Nachr., 284(7) (2011), 875-884.
- [4] Karakostas G.L., Tsamatos P.Ch., Suffcient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem, Appl. Math. Letters, 15(2002), 401-407.
- [5] Liu X., Qiu J., Guo Y., Three positive solutions for second-order m-point boundary value problems, Appl. Math. Comput., 156(3) (2004), 733-742.
- [6] Ma R., An Y., Global structure of positive solutions for nonlocal boundary value problems involving integral conditions, Nonlinear Anal., 71(2009), 4364-4376.
- [7] Mawhin J., Szymańska-Dębowska K., Second-order ordinary differential systems with nonlocal Neumann conditions at resonance, Ann. Mat. Pura ed Appl., (to appear.).
- [8] Palamides P.K., Boundary value problems for shallow elastic membrane caps, IMA J. Appl. Math., 67(2002), 281-299.
- [9] Przeradzki B., Teoria i praktyka równań różniczkowych zwyczajnych, U Ł, Łódź, 2003 (In Polish).
- [10] Saranen J., Seikkala S., Solution of a nonlinear two-point boundary value problem with Neumann-type boundary data, J. Math. Anal. Appl., 135(2) (1988), 691-701.
- [11] Szymańska-Dębowska K., On two systems of non-resonant nonlocal boundary value problems, An. St. Univ. Ovidius Constanta, 21(3) (2013), 257-267.
- [12] Szymańska-Dębowska K., k-dimensional nonlocal boundary value problems at resonance, Electron. J. Differential Equations, 2015(148) (2015), 1-8.
- [13] Vidossich G., A general existence theorem for boundary value problems for ordinary differential equations, Nonlinear Anal., 15(10) (1990), 897-914.
- [14] Wang F., Cui Y., Zhang F., Existence and nonexistence results for second-order Neumann boundary value problem, Surv. Math. Appl., 4(2009), 1-14.
- [15] Wang F., Zhang F., Existence of positive solutions of Neumann boundary value problem via a cone compression-expansion fixed point theorem of functional type, J. Appl. Math. Comput., 35(1-2) (2011), 341-349.
- [16] Webb J.R.L., Optimal constants in a nonlocal boundary value problem, Non-linear Anal., 63(2005), 672-685.
- [17] Webb J.R.L., Existence of positive solutions for a thermostat model, Non-linear Anal. RWA, 13(2012), 923-938.
- [18] Webb J.R.L., Infante G., Positive solutions of nonlocal boundary value problems: a unified approach, J. London Math. Soc. (2), 74(3) (2006), 673-693.
- [19] Webb J.R.L., Zima M., Multiple positive solutions of resonant and non-resonant nonlocal boundary value problems, Nonlinear Anal., 71(3-4) (2009), 1369-1378.
- [20] Yang Z., Existence and uniqueness of positive solutions for an integral boundary value problem, Nonlinear Anal., 69(2008), 3910-3918.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-ec25ae35-d164-4af1-8981-b7c0ede00ef9