trace of a fourth order tensor

... Mathematics and Mechanics-Azerbaijan National Academy of Science, 9, F. Agayev Street, Baku AZ1141, Azerbaijan Full list of author information is available at the end of the article Abstract The ... distribution and trace formula of a second order operator- differential equation Nigar Mahar Aslanova 1,2 Correspondence: nigar. aslanova@yahoo.com 1 Department of Differential Equation, Institute of Mathematics and ... equations. Nauk Dumka, Kiev, 284 (1984) (Russian). 31. Yakubov, S, Yakubov, Ya: Differential-Operator Equations Ordinary and Partial Differential Equations. Chapman and Hall/ CRC, Boca Raton, 568...

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... Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China ∗ Corresponding author: wang-fanglei@hotmail.com Email address: YA: anykna@nuaa.edu.cn Abstract This article ... (1). By an analogous way we know there exists at least one negative solution, which is a nontrivial critical point of I − Hence, Equation (1) admits at least a positive solution and a negative ... continuous and f has subcritical growth, the above functional is of class C 1 in H. We shall apply the famous mountain pass theorem to show the existence of a nontrivial critical point of functional...

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... M.R.Grossinho,F.M.Minh ´ os, and A. I. Santos, “Existence result for a third -order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control,” Journal of Mathematical Analysis and Applications, ... point boundary conditions,” Journal of Mathematical Analysis and Applications, vol. 285, no. 1, pp. 174–190, 2003. 5 A. Cabada and R. L. Pouso, “Extremal solutions of strongly nonlinear discontinuous ... theory of ODE boundary value problems: classical and recent results,” in Non-Linear Analysis and Boundary Value Pr oblems for Ordinary Differential Equations (Udine), vol. 371 of CISM Courses and...

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... 2009. 9 Q. Meng and J. Yan, “Bounded oscillation for second -order nonlinear neutral difference equations in critical and non-critical states,” Journal of Computational and Applied Mathematics, vol. ... Methods, and Application, vol. 228 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 2nd edition, 2000. 2 R. P. Agarwal, S. R. Grace, and D. O’Regan, ... nonoscillatory solutions of higher -order nonlinear neutral difference equations,” Journal of Mathematical Analysis and Applications, vol. 280, no. 1, pp. 63–76, 2003. 17 Y. Zhou and B. G. Zhang,...

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... pages doi:10.1155/2010/720235 Research Article Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order Hamza Menken Mathematics Department, Science and Arts Faculty, ... Differential Operators, American Mathematical Society, Providence, RI, USA, 1975. 3 V. A. Marchenko, Sturm-Liouville Operators and Applications, vol. 22 of Operator Theory: Advances and Applications,Birkh ¨ auser, ... and Applications,Birkh ¨ auser, Basel, Switzerland, 1986. 4 M. A. Naimark, Linear Differential Operators. Part 1, Frederick Ungar, New York, NY, USA, 1967. 5 F. S. Rofe-Beketov and A. M. Kholkin, Spectral Analysis...

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... Applications, vol. 314, no. 1, pp. 254–265, 2006. 10 R. Ma, “Nodal solutions of boundary value problems of fourth- order ordinary differential equations,” Journal of Mathematical Analysis and Applications, ... Applied Mathematics and Computation, vol. 168, no. 2, pp. 1219–1231, 2005. 9 R. Ma, “Nodal solutions for a fourth- order two-point boundary value problem,” Journal of Mathematical Analysis and Applications, ... pages doi:10.1155/2010/570932 Research Article Nodal Solutions for a Class of Fourth- Order Two-Point Boundary Value Problems Jia Xu 1, 2 and XiaoLing Han 1 1 Department of Mathematics, Northwest Normal University, Lanzhou...

Ngày tải lên: 21/06/2014, 16:20

... to a three-point boundary value problem and the spectral radius of a related linear operator. Nonlinear Anal. 34, 498–507 (1998) [10] Il’in, VA, Moiseev, EI: Nonlocal boundary-value problem of ... 0, was obtained by Yao [13] in a Banach space setting. Gupta [3] proved the existence of 4 to the derivation of the main results. The proof of the main results will be stated in Section 3. A class ... of positive solutions for fourth- order semipositone multi-p oint boundary value problems with a sign-changing nonlinear term Yan Sun Department of Mathematics, Shanghai Normal University, Shanghai...

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... physicians had to order a 'vancomycin loading dose' and a 'vancomycin dose accord- ing to plasma level', without having to adjust anything, which virtually eliminates the risk of ... analysis and drafting of the manuscript. BC was responsible for data acquisition, analysis of the data, and drafting of the manuscript. JD was responsible for con- ceiving the study, statistical analysis ... patient char- acteristics (APACHE II, renal failure, number of drug prescrip- tions (at screening day) and the number of MPEs. Nonparametric data were analyzed with the Kruskal-Wallis and Mann-Whitney...

Ngày tải lên: 25/10/2012, 10:39

... All grammar settings and annotations are saved and available the next time the user logs on. Finally on the Data Download page, users may download data so that they can use the patterns and ... with all possible syntactic derivations of each pattern. The patterns and their derivations are generated from a large battery of grammars that incorporate many features from the domain of natural ... Selection and Data Download. First a user has to specify, on the Grammar Selection page, which settings of the 13 parameters are of interest and save those settings as an available grammar. A user...

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... Institute of Advanced Industrial Science and Technology, Ibaraki, Japan Post-translational phosphorylation serves as a control mechanism in a myriad of cellular processes including metabolic pathway ... reveals that both tau peptides are capable of self-aggregation and that phosphorylation at Ser356 can modulate this process. Abbreviations AD, Alzheimer’s disease; PHF, paired helical filament; ... tau repeat fragment assembly was also studied. Recently, Wang et al. showed that AD P-tau dephosphorylated by protein phosphatase did not aggre- gate into filaments, whereas several protein kinases and...

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