TITLE

On a Nonlinear Second-Order Three Point Boundary Value Problem with Carath�odory Functions on Time Scales

AUTHOR(S)
Gulsan Topal, S.
PUB. DATE
August 2006
SOURCE
Advances in Dynamical Systems & Applications;2006, Vol. 1 Issue 2, p199
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper is concerned with the problem of existence of a solution for the three point boundary value problem -y??(t) = f (t,y(t), y?(t)) + h(t), with y(?(a)) = 0, and y(s(b)) - dy(?) = 0, where f is a function satisfying Carath�odory's conditions.
ACCESSION #
24374763

 

Related Articles

  • HIGHER-ORDER BOUNDARY VALUE PROBLEMS FOR CARATHÉODORY DIFFERENTIAL INCLUSIONS. Aitalioubrahim, M.; Sajid, S. // Miskolc Mathematical Notes;2008, Vol. 9 Issue 1, p7 

    In this paper we prove existence results for boundary value problems for higher-order differential inclusion x(n) (t) ϵ F(t, x (t)) with nonlocal boundary conditions, where F is a compact convex L¹-Carathéodory multifunction.

  • TWO-POINTS BOUNDARY VALUE PROBLEMS FOR CARATHÉODORY SECOND ORDER EQUATIONS. TADDEI, VALENTINA // Archivum Mathematicum;2008, Vol. 44 Issue 2, p93 

    Using a suitable version of Mawhin's continuation principle, we obtain an existence result for the Floquet boundary value problem for second order Carathéodory differential equations by means of strictly localized C² bounding functions.

  • Existence and Asymptotic Behavior of Solutions for Weighted p(t)-Laplacian Integrodifferential System Multipoint and Integral Boundary Value Problems in Half Line. Yan Wang; Yunrui Guo; Qihu Zhang // Journal of Inequalities & Applications;2010, Vol. 2010, p1 

    This paper investigates the existence and asymptotic behavior of solutions for weighted p(t)- Laplacian integro-differential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p- - 1) growth condition or general growth...

  • EXISTENCE OF SOLUTIONS TO THIRD-ORDER m-POINT BOUNDARY-VALUE PROBLEMS. JIAN-PING SUN; HAI-E ZHANG // Electronic Journal of Differential Equations;2008, Vol. 2008, Special section p1 

    This paper concerns the third-order m-point boundary-value problem u"'(t) + f(t, u(t), u'(t), u"(t)) = 0, a.e. t ∈ (0, 1), u(0) = u'(0) = 0, u''(1) = m-2∑i=1kiu"(ξi), where f : [0, 1] x ℝ³ → ℝ is Lp-Carathéodory, 1 ≤ p < +∞, 0 = ξ0 < ξ1...

  • Boundary value problems with operator right-hand side. Vasil'ev, N.; Lepin, A.; Lepin, L. // Differential Equations;Sep2010, Vol. 46 Issue 9, p1227 

    For a second-order boundary value problem with operator right-hand side and with functional boundary conditions, we prove solvability theorems with mixed and Dirichlet boundary conditions assuming the existence of a lower and an upper function. These theorems are analogs of theorems for the...

  • Multiplicity results for systems of second order differential equations. Frigon, M.; Montoki, E. // Nonlinear Studies;2008, Vol. 15 Issue 1, p71 

    Multiplicity results are obtained for systems of second order differential equations with periodic or Sturm-Liouville boundary conditions. Results rely on the notion of strict-tube. Different growth conditions of Wintner-Nagumo type are considered.

  • Positive Solutions of Second Order Boundary Value Problems With Changing Signs Carath�odory Nonlinearities. Boucherif, Abdelkader; Henderson, Johnny // Electronic Journal of Qualitative Theory of Differential Equatio;Jun2006, p1 

    In this paper we investigate the existence of positive solutions of two-point boundary value problems for nonlinear second order differential equations of the form (py')'(t)+q(t)y(t) = f(t, y(t), y'(t)), where f is a Carath�odory function, which may change sign, with respect to its second...

  • Boundary value problems for second order nonconvex differential inclusions. Dhage, B. C.; Benchohra, M.; Henderson, J. // Nonlinear Studies;2007, Vol. 14 Issue 4, p365 

    This paper is devoted to the existence of solutions to boundary value problems for second order multi-valued nonconvex differential inclusions under Lipschitz, Carath�odory and monotonicity conditions.

  • MULTIPLICITY OF SOLUTIONS FOR NEUMANN PROBLEMS WITH AN INDEFINITE AND UNBOUNDED POTENTIAL. GASIŃSKI, LESZEK; PAPAGEORGIOU, NIKOLAOS S. // Communications on Pure & Applied Analysis;Sep2013, Vol. 12 Issue 5, p1985 

    We consider a semilinear Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential and with a Carathéodory reaction term. Using variational methods based on the critical point theory, combined with Morse theory (critical groups), we prove two multiplicity...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics