ON THE EXISTENCE OR THE ABSENCE OF GLOBAL SOLUTIONS OF THE CAUCHY CHARACTERISTIC PROBLEM FOR SOME pdf
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 ... =bT2mΓ(2m)2mF0C(DT)=bT2m(2m)!F0C(DT)(3.18) ON THE EXISTENCE OR THE ABSENCE OF GLOBAL SOLUTIONS OF THE CAUCHY CHARACTERISTIC PROBLEM FOR SOME NONLINEAR HYPERBOLIC EQUATIONSS. KHARIBEGASHVILIReceived 20 October 2004 For wave equations ... S∞=∂D∞: t =|x|.Note that the questions on the existence or nonexistence of a global solution of the Cauchy problem for semilinear equations of type (1.1) with initial conditions u|t=0= u0,∂u/∂t|t=0=...
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báo cáo hóa học:" Research Article Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms" pot
... sub-solution to the stationaryproblems of Problem 1.1. Then the positive solution ux, t with initial data ux is monotoneincreasing 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 119 Q. S. Zhang, “Blow-up results for ... Theorems 1.1 and 1.2 are the extension of the results of 8.Ifweputσ 0inthese theorems, the same results as Theorem 1 in 8 are obtained.We will prove Theorem 1.1a and b in Sections...
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Báo cáo hóa học: " Research Article Existence of Positive Solutions to a Boundary Value Problem for a Delayed Nonlinear Fractional Differential System " ppt
... devoted their attention to studying the existence of positive solutions of boundary value problems for differential equations with fractionalorder 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 Boundary Value ProblemsTheorem ... Value Problemsstudy on systems of fractional differential equations, not much has been done for boundaryvalue problems for systems of fractional differential equations 18–20. On the other hand,...
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state university of new york press the perils and promise of global transparency why the information revolution may not lead to security democracy or peace oct 2006
... media, nongovernmental orga-nizations, and international organizations—all report informationselectively, which is reasonable for some organizations and a fundamen-tal responsibility of others. ... reported everysignificant event or all stories in equal depth; we buy newspapers pre-cisely because they filter information for us. Nonetheless, consumers of information rely on organizations ... disseminate information alsoaffect our understanding of the world both by what information theyspread and—more importantly—what information they do not:• Democracies still keep millions of secrets...
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Tài liệu Đề tài " Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex domains " docx
... [20] on the constructions of conformal invariants from the heat kernel kt(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 isa natural consequence of the variational formula for the kernel kt(x, y) underconformal scaling, which follows from the ... element(Theorem 2). This second result is an analogue of the derivation of a conformalinvariant from the volume expansion of conformally compact Einstein mani-folds which arises in the AdS/CFT correspondence...
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báo cáo hóa học:" Psychometric properties of the DISABKIDS Chronic Generic Module (DCGM-37) when used in children undergoing treatment for cancer" pdf
... dimensions. There was support for the suggested groupings of itemsinto dimensions for all but six of the 36 items of the DCGM-37 included in this study. The instrument discriminatedsatisfactorily ... correction for overlapwas performed to examine the internal construct validity of the DCGM-37. This is supported when an item’s cor-rected item-total correlation is ≥0.40 with the dimensionit ... understand these aspects and provide firmerconclusions.Acknowledgements The authors thank the children and adolescents as well as their parents for sharing information. Furthermore, the consultant...
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Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
... gm(ζ))ba+degz,∞arm{ba+degz,∞arm1m2qk−p(r)mρm}m1m2qk−p(r)Mr[gm](ζ).(3.11)113. Proof of the resultsProof of Theorem 1.4 Suppose that the conclusion of theorem is not true, thenthere exists an entire solution w(z) satisfies the equation [Q(w(z))]n= P [w]. ... concerning the growth of meromorphic solutions of algebraic differential equations. Acta Math. Sci.This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF ... means of the normal family theory, we estimate the growth order of entire solutions of some algebraic differential equationsand improve the related results of Bergweiler, Barsegian, and others.We...
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báo cáo hóa học:" Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" ppt
... meromorphic function or ∞ (see[1]).113. Proof of the resultsProof of Theorem 1.4 Suppose that the conclusion of theorem is not true, thenthere 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 algebraic differential equationsAdvances ... meromorphic function in the complex plane. We use the standardnotation of the Nevanlinna theory of meromorphic functions and denotes the order of f(z) by λ(f) (see [1–3]).Let C be the whole complex...
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báo cáo hóa học:" Research Article Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem" potx
... check that, for 0 <δ<δ, all of the conditions of Theorem A are satisfied. So there exists a connected component Cn of solutions of 2.30containing an,bn ×{0}, and eitheri Cnis ... in R × E.3. Proof of the Main ResultsProof 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 that C crosses the hyperplane {1}×E ... t 0, 1. The proof of our main result is basedupon topological degree theory and global bifurcation techniques.1. Introduction Existence and multiplicity of solutions of singular problem u...
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