Báo cáo hóa học: "HOW THE CONSTANTS IN HILLE-NEHARI THEOREMS DEPEND ON TIME SCALES" docx

... but the problem is that they contain restrictions that dis- able examination of many remaining important cases. Those additive conditions mainly concern two following facts: constants on the ... to use the former terminology (and its exten- sion to the time- scale case) since the second one has sometimes another meaning, see the next item devoted to conditionally oscillatory...

Ngày tải lên: 22/06/2014, 22:20

... which concludes the proof. Theorem 3.4. Let q>1 and B be the set of all nonnegative real-valued rd-continuous functions defined on 0,t ∩ T.LetK and L be monotone increasing linear operators on ... Rational Mechanics and Analysis, vol. 70, no. 2, pp. 167–179, 1979. 14 W. Okrasi ´ nski, On a nonlinear convolution equation occurring in the theory of water percolation,” Annales...

Ngày tải lên: 21/06/2014, 07:20

... results include many existing ones in the literature as special cases and can be used as tools in the qualitative theory of certain classes of dynamic equations on time scales. 1. Introduction Following ... give the main results of this paper. Theorem 3.5. Assume that a, b, g, h, x : T κ → R  are rd-continuous functions. Then, for any rd- continuous function kt > 0 on T...

Ngày tải lên: 21/06/2014, 07:20

... 1.1 The inequality is sharp in the sense that the constant 1/4 cannot be replaced by a smaller one. In 1988, Hilger 10 developed the theory of time scales as a theory capable to contain both ... calculus in a consistent way. Since then, many authors have 2 Journal of Inequalities and Applications studied the theory of certain integral inequalities on time scales. For...

Ngày tải lên: 22/06/2014, 03:20

... R is a continuous function, nondecreasing in the second vari- able; B 2 : C(T) × R → R is a continuous function, nonincreasing in the first vari- able. Remark 1.1. Note that the assumption φ(0) = ... Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions, Nonlinear Analysis. Theory, Methods &Applications42 (2000...

Ngày tải lên: 22/06/2014, 22:20

... functions for dynamical equations Then (i) the function t → ξ c (t)isrd-continuousinallt ∈ T for arbitrary c ∈ R as the composition of the graininess function t → μ(t), which is always rd-continuous (see ... identity function on C. For fixed c ∈ R, the composition of the inverse cylinder transformation with the grain- iness μ ofatimescale T wil l be needed in considering Lyap...

Ngày tải lên: 22/06/2014, 22:20

... TRIF (TIR- domain-containing adapter-inducing interferon-b)join- ing the RIG-I/MDA5 pathway. In the other pathway, TLR7 senses single-strand HCV RNA and via the MyD88 adaptor protein activates ... hepatocarcinoma (HCC) as a model in which the targeting of microenvironment determine neoplastic transformation. The present review focuses on: the role of inflammation in carcino...

Ngày tải lên: 18/06/2014, 16:20

... satisfaction as well as what kind of social and organizational resources might have a positive effect on managing work load. In the context of the monitoring the following main ques- tions need to be answered. 1. ... Groneberg - david.groneberg@charite.de * Corresponding author †Equal contributors Abstract Background: The increasing economic pressure characterizes the current si...

Ngày tải lên: 20/06/2014, 00:20

... estimates of the burden of the condition/disease on those affected. Of particular note are the effects of health conditions on individuals surrounding the index person or patient, including family ... the intimate partner, many reported on the effect of witnessing their mother's abuse. HRQOL instruments The SF-36, HUI, EQ-5D and QWB instruments are limited in their...

Ngày tải lên: 18/06/2014, 22:20