ON THE EXISTENCE OR THE ABSENCE OF GLOBAL SOLUTIONS OF THE CAUCHY CHARACTERISTIC PROBLEM FOR SOME pdf

... power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of the Cauchy characteristic problem in the light cone of the future. 1. Statement of the problem Consider ... =  bT 2  m Γ(2m)2m   F 0   C(D T ) =  bT 2  m (2m)!   F 0   C(D T ) (3.18) ON THE EXISTENCE OR THE ABSENCE OF GLOBAL...

Ngày tải lên: 23/06/2014, 00:20

... sub-solution to the stationary problems of Problem 1.1. Then the positive solution ux, t with initial data u x is monotone increasing to t. 3. Proof of Theorem 1.1(a) We first consider the following ... section, we first give the definition of a solution for Problem 1.1 and then cite the comparison theorem and a known result. Advances in Difference Equations 11 9 Q...

Ngày tải lên: 21/06/2014, 11:20

... devoted their attention to studying the existence of positive solutions of boundary value problems for differential equations with fractional order 8–23. We mention that the fractional order ... contraction. Therefore, the proof is complete with the help of Lemmas 3.1 and 2.5. The following result can be proved in the same spirit as that for Theorem 3.4. 8 Boundar...

Ngày tải lên: 21/06/2014, 05:20

... media, nongovernmental orga- nizations, and international organizations—all report information selectively, which is reasonable for some organizations and a fundamen- tal responsibility of others. ... reported every significant event or all stories in equal depth; we buy newspapers pre- cisely because they filter information for us. Nonetheless, consumers of information rely on...

Ngày tải lên: 11/06/2014, 12:45

... [20] on the constructions of conformal invariants from the heat kernel k t (x, y) of the conformal Laplacian, and their CR analogue for CR invariant sub-Laplacian by Stanton [22]. For a conformal ... depend on the choice of a scale g ∈ [g] (resp. a contact form θ). This is a natural consequence of the variational formula for the kernel k t (x, y) under conformal...

Ngày tải lên: 16/02/2014, 05:20

... dimensions. There was support for the suggested groupings of items into dimensions for all but six of the 36 items of the DCGM-37 included in this study. The instrument discriminated satisfactorily ... correction for overlap was performed to examine the internal construct validity of the DCGM-37. This is supported when an item’s cor- rected item-total correlation is...

Ngày tải lên: 20/06/2014, 16:20

... g m (ζ)) b a+deg z,∞ a r m {b a+deg z,∞ a r m 1 m 2 qk−p(r) m ρ m } m 1 m 2 qk−p(r) M r [g m ](ζ). (3.11) 11 3. Proof of the results Proof of Theorem 1.4 Suppose that the conclusion of theorem is not true, then there exists an entire solution w(z) satisfies the equation [Q(w(z))] n = P [w]. ... concerning the growth of meromorphic solutions of algebraic differential equation...

Ngày tải lên: 20/06/2014, 20:20

... meromorphic function or ∞ (see [1]). 11 3. Proof of the results Proof of Theorem 1.4 Suppose that the conclusion of theorem is not true, then there exists an entire solution w(z) satisfies the ... Fully formatted PDF and full text (HTML) versions will be made available soon. Further results of the estimate of growth of entire solutions of some classes of algebra...

Ngày tải lên: 21/06/2014, 17:20

... check that, for 0 <δ<  δ, all of the conditions of Theorem A are satisfied. So there exists a connected component C n of solutions of 2.30 containing a n ,b n  ×{0}, and either i C n is ... in R × E. 3. Proof of the Main Results Proof of Theorem 1.5. It is clear that any solution of 2.30 of the form 1,u yields solutions u of 1.1. We will show th...

Ngày tải lên: 21/06/2014, 11:20