Báo cáo hóa học: " Research Article Existence Results for Higher-Order Boundary Value Problems on Time Scales" pptx

... Corporation Advances in Difference Equations Volume 2009, Article ID 209707, 18 pages doi:10.1155/2009/209707 Research Article Existence Results for Higher-Order Boundary Value Problems on Time Scales Jian Liu 1 and ... Difference Equations 17 J. Henderson, A. Peterson, and C. C. Tisdell, On the existence and uniqueness of solutions to boundary value problems...

Ngày tải lên: 21/06/2014, 20:20

... three- point boundary value problems, ” Nonlinear Analysis. Theory, Methods & Applications, vol. 68, no. 10, pp. 3151–3158, 2008. 3 F. Wang and Y. Cui, On the existence of solutions for singular boundary ... boundary value problems, ” Applied Mathematics Letters, vol. 22, no. 1, pp. 45–51, 2009. 5 J. R. Graef and J. R. L. Webb, “Third order boundary value problem...

Ngày tải lên: 21/06/2014, 05:20

... solution x ≡ 0 of 3.35 is P-uniformly exponentially stable if and only if σA, B ⊂ S,whereS is the domain of uniform exponential stability of . On the exponential stable domain of a time scale, ... that for each t 0 ∈ k τ , 3.1 with the initial condition A ρt 0   x  t 0  − x 0   0 3.2 has a unique solution defined on t 0 . The condition ensuring the existence of a uniqu...

Ngày tải lên: 21/06/2014, 05:20

... equations on time scales. 1. Introduction The theory of dynamic equations on time scales unifies existing results in differential and finite difference equations and provides powerful new tools for ... nonnegative functions defined for t, s ∈ Ω that are right-dense continuous for t, s ∈ Ω, and p>1 is a real constant. If f : Ω × R  → R  is right-dense continuous on Ω and...

Ngày tải lên: 21/06/2014, 05:20

... Publishing Corporation Boundary Value Problems Volume 2011, Article ID 827510, 15 pages doi:10.1155/2011/827510 Research Article Positive Solutions for Integral Boundary Value Problem with φ-Laplacian ... solution for BVP1.1, the following definitions and fixed point theorems in a cone are very useful. Definition 2.7. The map α is said to be a nonnegative continuous concave...

Ngày tải lên: 21/06/2014, 05:20

... Publishing Corporation Advances in Difference Equations Volume 2008, Article ID 345916, 10 pages doi:10.1155/2008/345916 Research Article Three Solutions to Dirichlet Boundary Value Problems for p-Laplacian ... interest in the existence of solutions to boundary value problems for finite difference equations with p-Laplacian operator, because of their applica- tions in man...

Ngày tải lên: 22/06/2014, 19:20

... solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales by establishing a comparison result and using the monotone iterative technique. Copyright ... Problems Volume 2007, Article ID 73176, 16 pages doi:10.1155/2007/73176 Research Article Extremal Solutions of Periodic Boundary Value Problems f...

Ngày tải lên: 22/06/2014, 19:20

... β(t)forallt ∈ T}. Alberto Cabada 11 [10] A. Cabada and R. L. Pouso, Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions, Nonlinear ... type existence results for second- order nonlinear dynamic BVPs, Nonlinear Analysis 60 (2005), no. 2, 209–220. [2] M. Bohner and A. Peterson, Dynamic Equat ions on Time Scales....

Ngày tải lên: 22/06/2014, 22:20

... Y two nonempty compact convex subsets, and C ⊂ Z a nonempty closed convex cone. Let S : K → 2 K be a continuous set-valued mapping such that for any x ∈ K, Sx is a nonempty closed convex subset ... semicontinuous set-valued mapping such that for any x ∈ K, Tx is a nonempty closed convex subset of D.LetF : K × D × K → 2 Z be a set-valued mapping satisfying the following conditions: i...

Ngày tải lên: 21/06/2014, 05:20

... assumptions (H1), (H2), and (H3), if f and g has subcritical growth (see definition below), problem (P) possesses a nontrivial weak solution. Hindawi Publishing Corporation Boundary Value Problems Volume ... properly cited. 1. Introduction In this paper, we study the existence of a nontrivial solution for the following systems of two semilinear coupled Poisson equations P  −Δu  u...

Ngày tải lên: 21/06/2014, 22:20