Báo cáo hóa học: "EXISTENCE RESULTS FOR φ-LAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES" potx

... 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 ... upper solutions. This study has been continued in [5]fornth-order periodic boundary value problems, in [11] for antiperiodic dynamic equations, and in [ 1] for second-order dyna...

Ngày tải lên: 22/06/2014, 22:20

... function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly ... functions for dynamical equations linearizations of nonlinear systems, see, for example, [3, 7, 11]. We note that P ¨ otzsche et al. [13] investigated various necessary and sufficie...

Ngày tải lên: 22/06/2014, 22:20

... inequalities for dynamic equations on time scales, which generalize the corresponding results on differential and differ- ence equations. Lyapunov-type inequalities are very useful in oscillation theory, stability, ... issue) [23] Vl R˘asvan, On central λ-stability zone for linear discrete time Hamiltonian systems, in Proc. fourth Int. Conf. on Dynamical Systems and Differentia...

Ngày tải lên: 18/06/2014, 22:20

... exponential function on time scales; for more details on time scales, see 8, 9. Now we will give the OuIang inequality on time scales. Theorem 2.2. Let u and v be real-valued nonnegative rd-continuous ... Peterson, Dynamic Equations on Time Scales: An Introduction with Application, Birkh ¨ auser, Boston, Mass, USA, 2001. 9 M. Bohner and A. Peterson, Eds., Advances in Dyn...

Ngày tải lên: 21/06/2014, 07:20

... Existence results for a class of nonlocal problems involving p-Laplacian. Boundary Value Problems 2011 2011:32. Yang and Zhang Boundary Value Problems 2011, 2011:32 http://www.boundaryvalueproblems.com/content/2011/1/32 Page ... Zhang Boundary Value Problems 2011, 2011:32 http://www.boundaryvalueproblems.com/content/2011/1/32 Page 7 of 8 Definition 2.2. For J Î C 1 (...

Ngày tải lên: 20/06/2014, 22:20

... look for positive solutions for large λ. In Theorem 1.1 we establish a subsolution by analyzing an appropriate power of the first eigenfunction of the −Δ p with Dirichlet boundary conditions. Also ... ≤ 0foru ≥ r for some r>0. When c = 0 it is easy to establish the existence of a positive solution for large λ>0. Here we consider the challenging semipositone case c>0.Semiposi...

Ngày tải lên: 22/06/2014, 22:20

... p-Laplacian boundary value problems on time scales,” Journal of Differential Equations, vol. 240, no. 2, pp. 217– 248, 2007. 17 B. Liu, “Positive solutions of three-point boundary value problems for ... concept of dynamic equations on time scales can build bridges between differential and difference equations. This concept not only gives us unified approach to study the b...

Ngày tải lên: 21/06/2014, 20:20

... nonlocal nonlinearities. Assum- ing only certain growth conditions on the data, we are able to prove existence results for the problem under consideration. In particular, no continuity assumptions ... called pseudomonotone if the following conditions hold. (i) The set Ꮽ(u) is nonempty, bounded, closed, and convex for all u ∈ X. (ii) Ꮽ is upper semicontinuous from each finite-dimensiona...

Ngày tải lên: 22/06/2014, 22:20

... indicated in [5], we sometimes need to deal with nondensely defined op- erators. For example, when we look at a one-dimensional heat equation with Dirichlet conditions on [0,1] and consider A = ∂ 2 /∂x 2 in ... solutions of IVP (1.1)-(1.2) under suitable monotonicity conditions on the functions involved in it. 4 Perturbed functional differential equations Moreover, y is given by the follo...

Ngày tải lên: 22/06/2014, 22:20