[PDF] Top 20 The formulation of second order boundary value problems on time scales

... has problems. As it stands, the boundary condition ...“boundary value” problems with the “boundary value” prescribed in the interior of the interval, but this does not ... See full document

... of second-order boundary value problems have been studied by some authors, see [, ...Dirichlet boundary value prob- lem, the Sturm-Liouville boundary value ... See full document

... In this paper, we consider a class of nonlinear third-order boundary value problems with integral boundary conditions on time scales. By applying a generalization of the ... See full document

... discrete time, the modeling process gives rise to a discrete (or di ff erence) inclusion, rather than a differential ...discrete time gives a more precise or realistic description ... See full document

... on time scales, see ...integral boundary value problems for nonlinear p-Laplacian dynamic equations on time scales have not been ... See full document

... This paper is devoted to proving the existence of the extremal solutions of a φ-Laplacian dynamic equation coupled with nonlinear boundary functional conditions that include as a particular case the Dirichlet and ... See full document

... two-point boundary value problems where the corresponding linear homogeneous boundary value problem has a one dimensional solution ...ary value problems. We pay particular ... See full document

... periodic boundary value problems PBVPs for short for dynamic equations on time scales have been studied by several authors by using the method of lower and upper solutions, fixed point ... See full document

... particular time scales ( T = R or T = Z ), there are few papers dealing with multi-point boundary value problems more than three-point for first-order systems on time ... See full document

... In order to guarantee that r ∆∆ (ρ(c)) exists, both y ∆∆ (t) and [y(σ(t))] ∆ must exist, since r(t) = y(t), y(t) is the inner product of two functions. As remarked in [6], the product of two functions is not ... See full document

... m-point boundary value problems on a mea- sure chain, Journal of Difference Equations and Applications 9 (2003), ...eigenvalue problems, Journal ... See full document

... same time, the boundary value problems for impulsive differential equations and impulsive difference equations have received much attention ...on time scales has become a new ... See full document

... This paper is organized as follows. In Section 2, we present some preliminary results concerning the time scales calculus and Sobolev’s spaces on time scales. In Section 3, we construct a ... See full document

... Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. Consequently, it is natural to assume that these perturbations act ... See full document

... for boundary value problems recent ...a time scale ...the boundary value problems of functional differential, difference, and dynamic equations 1, 2, ... See full document

... of boundary value problems have quite a history for ordinary differential equations as well for difference equations, we mentioned papers of Barr and Sherman 6, Hartman 7, Henderson 8, 9, Henderson and ... See full document

... By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time ... See full document

... on time scales has also attracted much attention since it provides an unifying structure for differential equations in the contin- uous cases and the finite difference equations in the discrete cases, see ... See full document

... various boundary value problems for differential ...first time that multiple positive solutions of impulsive differential system with indefinite weight and multiple parameters have been ... See full document

... The effect of resonance in a mechanical equation is very important to scientists. Nearly every mechanical equation will exhibit some resonance and can, with the appli- cation of even a very small external pulsed force, ... See full document