... 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 ofasecondorder 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...
... HepG2cDNA library (C. Baisezand A. Harduin-Lepers, unpublished data), as the templateand two specific primers For 6I 5¢-CGATGAATTCGTTAACGCTCATCACCATCACCATCACGGGAAATTGGCCATGGGGT-3¢ containing a HpaIsiteandBack6I ... 00Fetuin NeuAca2-3Galb1-3GalNAca1-O-Ser/Thrc0 1.4NeuAca2-3Galb1-3[Neu5Aca2-6]GalNAca1-O-Ser/ThrcNeuAca2-6(3)Galb1-4GlcNAc-RcAsialofetuin Galb1-3GalNAca1-O-Ser/Thr 66 83Galb1-4GlcNAc-RArylglycosides ... the annealing of the two following synthetic oligonucleotides For EGT 5¢-GATCCGCCACCATGACCATCTTATGTTGGCTCGCTCTCCTGAGCACACTCACAGCTGTTAACGCTGACATCA-3¢ and Back EGT 5¢-GATCTGATGTCAGCGTTAACAGCTGTGAGTGTGCTCAGGAGAGCGAGCCAACATAAGATGGTCATGGTGGCG-3¢....
... initiation, 5¢-(C ⁄ A) AA (A ⁄ C)ATG, and a putativepoly (A) addition signal sequence, 5¢-AATAAA [17,18].It encoded a predicted product of 255 amino acidswith a molecular mass of 28.5 kDa, and ... detection reagents (Amersham PharmaciaBiotech, Piscataway, NJ).Animals were fed water and standard rabbit food andmaintained on a 12 h light/dark cycle. Polyclonal antiserumto the peptide was raised ... proliferating cell nuclear antigen 2 (DmPCNA2) and DmPCNA1 in response toDNA-damaging agents. (A) Immunofluorescent analysis of the localization of V5-tagged DmPCNA2 and Flag-tagged DmPCNA1. DmPCNA2...
... repetition of the proof of Lemma 3.2, we omit the details of its proof.With the aid of above preparations, now we will give the proof of Theorem1.2.Proof of Theorem 1.2 By(1.8), (2.1), (3.1), and ... LongCollege of Mathematics and Information Sciences,Guangzhou University, Guangzhou 510006, P. R. ChinaEmail address: longyuhua214@163.comAbstractIn this article, we discuss how to use a standard ... invarious fields such as optimal control, filtering theory, and discrete variationaltheory and many authors have extensively studied its disconjugacy, disfocality,boundary value problem oscillation,...
... application of the variational methods in the boundaryproblem of discrete Hamiltonian systems. Dissertation for doctor degree.College of Mathematics and Econometrics, Changsha, 2006[17] Ma, ... study of second- order linear differential equations. So, (1.3) arises with high frequency invarious fields such as optimal control, filtering theory, and discrete variationaltheory and many authors ... repetition of the proof of Lemma 3.2, we omit the details of its proof.With the aid of above preparations, now we will give the proof of Theorem1.2.Proof of Theorem 1.2 By(1.8), (2.1), (3.1), and...
... 3.2. Variational structure and preliminary resultsIn this section, we are going to establish suitable variational structure of (1.1) and giv esome lemmas which will be fundamental importance ... repetition of the proof of Lemma3.2, we omit the details of its proof.With the aid of above preparations, now we will give the proof of Theorem 1.2.Proof of Theorem 1.2 By(1.8), (2.1), (3.1), and ... 1215. Agarwal, RP: Difference Equations and Inequalities, Theory, Methods, and Applications. Dekker, New York, 2 (2000)16. Bin, HH: The application of the variational methods in the boundary problem...
... 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. ... 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, ... 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,...
... solutions of parameterized nonlinear operator equations, which is essentially a consequence of Dancer12, Theorem 2.Suppose that E is a real Banach space with norm ·.LetK be a cone in E. A nonlinearmapping ... Problems, Article ID 410986, 26 pages, 2010.17 A. Cabada and J. A. Cid, “On the sign of the Green’s function associated to Hill’s equation with anindefinite potential,” Applied Mathematics and Computation, ... resonance case, Problem 1.1, 1.2 has no Green’s functionany more.Remark 3.10. It is worth remarking that Cabada and Cid 17, and Cabada et al. 18 haveimproved the Lp-criteria in Torres...
... Differential EquationsIrena Rach˚unkov´ a, 1Svatoslav Stanˇek,1Ewa Weinm¨uller,2and Michael Zenz21Department of Mathematical Analysis, Faculty of Science, Palack´y University,Tomkova ... numerical calculations on a MATLAB software package bvpsuitedesigned to solve boundary value problems in ordinary differential equations. The solveris based on a collocation method with Gaussian ... In particular, Theorem 5.6 gives a characterization ofa class of nonlinear periodic problems 5. 1a and 5.1b which haveonly one solution. We begin the investigation of problem 5. 1a and...
... University of SouthChina, Hengyang, Hunan 421001,People’s Republic of ChinaFull list of author information isavailable at the end of the articleAbstractIn this paper, we consider the rule of trajectory ... RESEARCH Open AccessOn a class of second- order nonlinear differenceequationLi Dongsheng1*, Zou Shuliang1and Liao Maoxin2* Correspondence: lds1010@sina.com1School of Economics andManagement, ... 2+,1-,2+,1-, Proof. By Lemma 2.3, one can see that the lengt h ofa negative semicycle is at most3, and a positive semicycle is at most 2. On the basis of the strictly oscillatory charac-ter of the...
... pagesdoi:10.1155/2011/845413Research ArticleLagrangian Stability ofa Class of Second- Order Periodic SystemsShunjun Jiang, Junxiang Xu, and Fubao ZhangDepartment of Mathematics, Southeast University, Nanjing 210096, ... <l<p−2, and α, ω > 0 ar e constants. We want to generalizethe result in 6 to a class of p-Laplacian-type differential equations of the form 1.9.Themainidea is similar to that in 6. ... The idea isalso to change the original problem to Hamiltonian system and then use a twist theorem of area-preserving mapping to the Pioncar´emap.The above differential equation essentially possess...
... S. G. Hristova and D. D. Ba˘ınov, “Existence of periodic solutions of nonlinear systems of differentialequations with impulse effect,” Journal of Mathematical Analysis and Applications, vol. ... theorems are well known cone theoretic fixed point theorems. SeeLakshmikantham 8 for proofs and details.Theorem 2.6. Let X be a Banach space and K a cone in X. Assume that Ω1and Ω2are bounded ... Research Grant.References1 S. C. Hu and V. Lakshmikantham, “Periodic boundary value problems for secondorder impulsivedifferential systems,” Nonlinear Analysis: Theory, Methods & Applications,...