... Mathematicsand Mechanics-Azerbaijan NationalAcademy of Science, 9, F. AgayevStreet, Baku AZ1141, AzerbaijanFull list of author information isavailable at the end of the articleAbstractThe ... distributionand trace formula ofa second order operator-differential equationNigar Mahar Aslanova1,2Correspondence: nigar.aslanova@yahoo.com1Department of DifferentialEquation, Institute of Mathematicsand ... 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...
... Mathematics, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P. R. China∗Corresponding author: wang-fanglei@hotmail.comEmail address:YA: anykna@nuaa.edu.cnAbstractThis 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 solutionand a negative ... continuous and fhas subcritical growth, the above functional is of class C1in H. We shall apply thefamous mountain pass theorem to show the existence ofa nontrivial critical point of functional...
... M.R.Grossinho,F.M.Minh´os, and A. I. Santos, “Existence result for a third -order ODE withnonlinear boundary conditions in presence ofa sign-type Nagumo control,” Journal of MathematicalAnalysis and Applications, ... point boundary conditions,” Journal of Mathematical Analysisand 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 valueproblems: classical and recent results,” in Non-Linear Analysis and Boundary Value Pr oblems for OrdinaryDifferential Equations (Udine), vol. 371 of CISM Courses and...
... 2009.9 Q. Meng and J. Yan, “Bounded oscillation for second -order nonlinear neutral difference equations incritical 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, 2ndedition, 2000.2 R. P. Agarwal, S. R. Grace, and D. O’Regan, ... nonoscillatory solutions of higher -order nonlinear neutraldifference equations,” Journal of Mathematical Analysis and Applications, vol. 280, no. 1, pp. 63–76, 2003.17 Y. Zhou and B. G. Zhang,...
... pagesdoi:10.1155/2010/720235Research ArticleAccurate Asymptotic Formulas forEigenvalues and Eigenfunctions of a Boundary-Value Problem ofFourth Order Hamza MenkenMathematics Department, Science and Arts Faculty, ... DifferentialOperators, American Mathematical Society, Providence, RI, USA, 1975.3 V. A. Marchenko, Sturm-Liouville Operators and Applications, vol. 22 of Operator Theory: Advances andApplications,Birkh¨auser, ... andApplications,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...
... 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, ... AppliedMathematics 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, ... pagesdoi:10.1155/2010/570932Research ArticleNodal Solutions for a Class of Fourth- Order Two-Point Boundary Value ProblemsJia Xu1, 2and XiaoLing Han11Department of Mathematics, Northwest Normal University, Lanzhou...
... to a three-point boundary valueproblem and the spectral radius ofa 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 4to the derivation of the main results. The proof of the main results will be stated inSection 3. A class ... of positive solutions for fourth- order semipositone multi-p oint boundary value problemswith a sign-changing nonlinear termYan SunDepartment of Mathematics, Shanghai Normal University,Shanghai...
... physicians had to order a 'vancomycin loading dose' and a 'vancomycin dose accord-ing to plasma level', without having to adjust anything, whichvirtually 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 andMann-Whitney...
... 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...
... Institute of Advanced Industrial Science and Technology, Ibaraki, JapanPost-translational phosphorylation serves as a controlmechanism in a myriad of cellular processes includingmetabolic pathway ... reveals thatboth tau peptides are capable of self-aggregation and that phosphorylationat Ser356 can modulate this process.AbbreviationsAD, Alzheimer’s disease; PHF, paired helical filament; ... taurepeat fragment assembly was also studied.Recently, Wang et al. showed that AD P-taudephosphorylated by protein phosphatase did not aggre-gate into filaments, whereas several protein kinasesand...
... conduct of the office of District Attorney for the Southern District of Alabama since January 1, 1885. Within three days, Attorney-General Garland responded that he had already transmitted all papers ... campaign, the satirical cartoon attained a power and an effectiveness difficult to realize now that it has become an ordinary feature of journalism, equally available for any school of opinion. ... strong and ardent upon the accession of every new President, was aggravated in Garfield’s case by the factional war of which his own nomination was a phase. The factions of the Republican party...