[PDF] Top 20 Well posedness of a class of two point boundary value problems associated with ordinary differential equations

... differential equations (PDEs) (see, for example, [1]). Solving such equations is of great significance in the field of optimal ...adjoint equations, belongs to this kind of ODEs. Therefore, the ... See full document

... these equations have drawn much attention of many authors [5,22- ...perturbed boundary value problems for higher order nonlinear ordinary differential equations, which ... See full document

... three-point boundary value problems: u t ft, ut 0, t ∈ 0, 1, BCu0 0 and u1 δuη, where 0 < η < 1 and 0 < δ ≤ ...method associated with basic degree theory or Schauder’s fixed ... See full document

... Boundary value problems for fractional differential equations belong to the impor- tant issues for the theory of fractional differential ...on two-point boundary ... See full document

... where f : [0, 1] × [0, ∞ ) → ( −∞ , + ∞ ) is nonlinear continuous function and D α is the Riemann-Liouvilli fractional derivative. In [16], Kosmative studied existence and uniqueness of solutions to ... See full document

... fourth-order ordinary differential equations, two point boundary value problems are studied extensively, see ... See full document

... integral boundary value problems of ordinary differential equations arise in dif- ferent areas of applied mathematics and physics such as heat conduction, underground water flow, ... See full document

... conditions, two fourth-order linear ordinary differential equations with two-point bound- ary conditions, a three-order nonlinear ordinary differential equation with ... See full document

... q x = ℂ α β , ( ) q x ≥ 0 on [ , ] α β and f x ( ) = ℂ 1 [ , ] α β We assume that problem (1.1) has a unique solution ( ) u x In the present work, we use Galerkin-finite element method for the numerical solution of ... See full document

... one-dimensional two-point BVP with decoupling boundary conditions at the endpoints of the interval and quadratic restrictions imposed on the unknown deterministic data and the second moments of ... See full document

... differential equations, which arise in biology, physics, population dynamics, economics, and so forth, are a basic tool to study evolution processes that are subjected to abrupt in their states see ...impulsive ... See full document

... differential equations by traditional methods of the theory partial differ- ential equations; some related studies can be found in ...coupled ordinary differential equations (ODEs) ... See full document

... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ... See full document

... aforementioned problems by an iterative method based on the existence of an ordered couple α, β of a lower and an upper ...different boundary value problems when g does not depend on u ... See full document

... of boundary value problems for operator-differential equations has been studied by many ...both ordinary and partial differential operators from the same point of view, these ... See full document

... [9] I. Kiguradze and B. P ˚uˇza, Conti-Opial type existence and uniqueness theorems for nonlinear sin- gular boundary value problems, Functional Differential Equations 9 (2002), no. 3-4, ... See full document

... on boundary value problems of frac- tional ordinary differential equations [–] and an initial value problem of fractional functional differential equations ...the ... See full document

... nonlinear boundary value problems for ordinary differential equations side by side with numerical methods, it is often used an appropriate technique based upon some types of ... See full document

... general class of degenerate quadratic in momentum Hamiltonians was introduced (called regular in [4]) for which one can prove not only local uniqueness and global existence of solutions but also one can obtain ... See full document

... 8 T. Diagana, Pseudo Almost Periodic Functions in Banach Spaces, Nova Science, New York, NY, USA, 2007. 9 T. Diagana, G. M. Mophou, and G. M. N’Gu´er´ekata, “On the existence of mild solutions to some semilinear ... See full document