PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Existence theorems of nonlinear asymptotic BVP for a homeomorphism

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this work, we are concerned with the existence of solutions for the following φ -Laplacian boundary value problem on the half-line [formula] where [formula] is continuous. The results are proved using the properties of the Leray-Schauder topological degree.
Rocznik
Strony
399--407
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
  • Lodz University of Technology Institute of Mathematics 90-924 Łódź, ul. Wólczańska 215, Poland
Bibliografia
  • [1] J. Andres, G. Gabor, L. Górniewicz, Boundary value problems on infinite intervals, Trans. Amer. Math. Soc. 351 (1999), 4861-4903.
  • [2] C.Z. Bai, J.X. Fang, On positive solutions of boundary value problems for second-order functional differential equations on infinite intervals, J. Math. Anal. Appl. 282 (2003), 711-731.
  • [3] J. V. Baxley, Existence and uniqueness of nonlinear boundary value problems on infinite intervals, J. Math. Anal. Appl. 147 (1990), 127-133.
  • [4] J.W. Bebernes, L.K. Jackson, Infinite interval boundary value problems for y" = f(x,y), Duke Math. J. 34 (1967), 39-47.
  • [5] L.E. Bobisud, Existence of positive solutions to some nonlinear singular boundary value problems on finite and infinite intervals, J. Math. Anal. Appl. 173 (1993), 69-83.
  • [6] A. Constantin, On an infinite interval boundary value problem, Ann. Mat. Pura Appl. 176 (1999) 4, 379-394.
  • [7] S. Djebali, O. Saifi, Positive solutions for singular (p-Laplacian BVPs on the positive half-line, Electron. J. Qual. Theory Differ. Equ. 56 (2009), 24 pp.
  • [8] S. Djebali, O. Saifi, Positive solutions for singular BVPs with sign changing and derivative depending nonlinearity on the positive half line, Acta Appl. Math. 110 (2010) 2, 639-665.
  • [9] S. Liang, J. Zhang, The existence of countably many positive solutions for one-dimensional p-Laplacian with infinitely many singularities on the half line, Appl. Math. Comput. 201 (2008), 210-220.
  • [10] A. Lipowski, B. Przeradzki, K. Szymańska-Dębowska, Periodic solutions to differential equations with a generalized p-Laplacian, Discrete Contin. Dyn. Syst. Ser. B 19 (2014) 8, 2593-2601.
  • [11] R. Manasevich, J. Mawhin, Periodic solutions for nonlinear systems with p-Laplacian-like operators, J. Diff. Equ. 145 (1998), 367-393.
  • [12] D. O'Regan, B. Yan, R.P. Agarwal, Solutions in weighted spaces of singular boundary value problems on the half-line, J. Comput. Appl. Math. 205 (2007), 751-763.
  • [13] P.J. Rabier, C.A. Stuart, A Sobolev space approach to boundary value problems on the half-line, Comm. in Contemp. Math. 7 (2005) 1, 1-36.
  • [14] K. Szymańska, On an asymptotic boundary value problem for second order differential equation, J. Appl. Anal. 12 (2006) 1, 109-119.
  • [15] M.J. Zygmunt, Non symmetric random walk on infinite graph, Opuscula Math. 31, (2011) 4, 669-674.
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-828806cc-d928-458f-a975-1059c1147a08
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.