On second order nonlocal boundary value problem at resonance

• Autorzy: Szymańska-Dębowska K.

Identyfikatory

DOI

10.1515/fascmath-2016-0010

• Języki publikacji: EN

Abstrakty

EN

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] × R^k → R^k is continuous and g ∶ [0,1] → R^k is a function of bounded variation.

Słowa kluczowe

EN

nonlocal boundary conditions; resonant problem; nonlinear problem; Neumann problem

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 56
• Strony: 143--153
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Szymańska-Dębowska K.

• Institute of Mathematics, Łódź University of Technology

Bibliografia

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• [7] Mawhin J., Szymańska-Dębowska K., Second-order ordinary differential systems with nonlocal Neumann conditions at resonance, Ann. Mat. Pura ed Appl., (to appear.).
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• [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.
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• [17] Webb J.R.L., Existence of positive solutions for a thermostat model, Non-linear Anal. RWA, 13(2012), 923-938.
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• [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.