... interpretation, and modification ofthe initial version of this study Author details Department ofDifferential Equation, Institute of Mathematics and Mechanics-Azerbaijan National Academy of Science, ... regularized trace ofthe considered problem will be studied It is clear that because ofthe appearance of an eigenvalue parameter in the boundary condition at the end point, the operator associated ... 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...
... 4707–4717 [10] G Papaschinopoulos and C J Schinas, Global asymptotic stability and oscillation ofa family of difference equations, Journal of Mathematical Analysis and Applications 294 (2004), ... for a fourth -order rational difference equation, Journal of Mathematical Analysis and Applications 312 (2005), no 2, 555–563 , Qualitative properties for a fourth -order rational difference equation, ... an+4 = an+3 an+2 an = an+2 an+1 an 1 an+2 an = an+1 an an 1 = an an 1 an 3 an an 1 (2.6) = an 3 If (i0 ,i1 ) = (1,2), then in a similar fashion, it is true that an+4 = an 3 for any n (2) If (i0...
... Journal of Mathematical Analysis and Applications 175 (1993), no 2, 482–498 [6] B S Lalli, Oscillation theorems for neutral difference equations Advances in difference equations, Computers & Mathematics ... Journal ofthe Australian Mathematical Society Series A 67 (1999), no 1, 122–142 [8] X Tang and J Yan, Oscillation and nonoscillation of an odd -order nonlinear neutral difference equation, Functional ... operators U and S to be the same operators as above Then we may prove in similar manners that (1.1) has asolution in A2 j −1 (∞ ,a) The proof is complete A similar theorem holds when m is odd, the...
... 1.11 such as the existence and uniqueness of solutions, oscillation and nonoscillation, stability and asymptotic behavior can imply similar qualitative properties of 1.1 The advantage ofthe suggested ... Rakhmatullina, Introduction to the Theory of Linear FunctionalDifferential Equations, vol of Advanced Series in Mathematical Science and Engineering, World Federation Publishers, Atlanta, Ga, USA, 1995 ... 15 pages, 2009 N V Azbelev, V P Maksimov, and L F Rakhmatullina, Introduction to the Theory of Functional Differential Equations: Methods and Applications, vol of Contemporary Mathematics and...
... Ta adunata para anthropois dunata para to Theo estin.] Mark x 27 [Greek: Para anthropois adunaton, all' ou para Theo; punta gar dunata para to Theo] Matt xix 26 [Greek: Para anthropois touto adunaton ... panta, lego de humin, hoti Aelias aedae aelthe kai ouk epegnosan auton all' epoiaesan auto hosa aethelaesan Kai gegraptai hoti tote sunaekan oi mathaetai, hoti peri Ioannon tou Baptistou eipen autois.] ... autois.] _Matt._ xvii 11-13 [Greek: Aelias men erchetai apokatastaesei panta, lego de humin hoti Aelias aedae aelthen kai ouk epegnosan auton, alla epoiaesan auto hosa aethelaesan, [outos kai ho uios...
... nontrivial If thesolution is a nontrivial solution, then we can further divide thesolution into two cases: non-oscillatory solution and oscillatory solutionA nontrivial solution {xn }∞ of n=−1 Equation ... 1-, Proof By Lemma 2.3, one can see that the length ofa negative semicycle is at most 3, and a positive semicycle is at most On the basis ofthe strictly oscillatory character ofthe solution, ... x ofEquation (1.1) is both ¯ locally asymptotically stable and globally attractive Theorem 3.5 has shown the local asymptotic stability of x Hence, it remains to verify that every positive solution...
... takes the form ofa particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear difference equation 3.8 From 10 , any solutionofthe “summary ... {n2 |a n − a0 − a1 /n − l n |} is a constant Equation 4.14 is an inhomogeneous second- order linear difference equation; its solution takes the form ofa particular solution added to an arbitrary ... Breach, Amsterdam, The Netherlands, ¨ 1997 10 C M Bender and S A Orszag, Advanced Mathematical Methods for Scientists and Engineers, International Series in Pure and Applied Mathematics, McGraw-Hill...
... 1989 S G Hristova and D D Ba˘nov, “Existence of periodic solutions of nonlinear systems of differential ı equations with impulse effect,” Journal of Mathematical Analysis and Applications, vol 125, ... contradicts to Lemma 3.5 and the proof is done Lemma 3.7 Assume D1 ∼ D6 Then every nonempty chain in A has a unique supremum in A Proof Let C be a chain in A Without loss of generality, we may ... μ } Then AT , ≤ is bounded Define A { λ, μ ∈ R2 \ { 0, } | 3.20 has a positive solution at λ, μ } Then A / ∅ by Lemma 3.4 and A, ≤ is a partially ordered set Lemma 3.6 Assume D1 ∼ D6 Then A, ≤...
... delay differential equations,” Tatra a Mountains Mathematical Publications, vol 43, pp 63–70, 2009 11 I Gyori and G Ladas, Oscillation Theory of Delay Differential Equations, Oxford Mathematical ... in the critical case,” Journal of Mathematical Analysis and Applications, vol 250, no 2, pp 635–659, 2000 Y Domshlak, “Oscillation properties of discrete difference inequalities and equations: the ... the new approach,” in Functional-Differential Equations, vol of Functional Differential Equations Israel Sem., pp 60–82, Coll Judea Samaria, Ariel, Israel, 1993 Y Domshlak and I P Stavroulakis, “Oscillations...
... theorems for a class of hypoelliptic ultraparabolic equations,” in Geometric Analysis of PDE and Several Complex Variables, vol 368 of Contemporary Math., pp 305–312, American Mathematical Society, ... Functional Analysis, vol 216, no 2, pp 455–490, 2004 [13] A E Kogoj and E Lanconelli, “Link of groups and applications to PDE’s,” to appear in Proceedings ofthe American Mathematical Society Alessia ... Mathematics Journal, vol 28, no 4, pp 545–557, 1979 [8] R Ja Glagoleva, “Liouville theorems for thesolutionofasecondorder linear parabolic equation with discontinuous coefficients,” Matematicheskie...
... failures of lead-sheathed cables at the Kennedy space center, prediction ofthe occurrence of geomagnetic storms, and estimation ofthe occurrence probability of giant freak waves in the sea area ... statistical tail functionals, Scandinavian Journal of Statistics 25 (1998), no 1, 187–210 [8] B M Hill, A simple general approach to inference about the tail ofa distribution, The Annals of Statistics ... prediction ofthe behavior of solar proton peak fluxes, model for the failure strengths of load-sharing systems and window glasses, model for the magnitude of future earthquakes, analysis ofthe corrosion...
... Cristian Enache 13 [4] [5] [6] [7] [8] [9] [10] , A remark on linear elliptic differential equations ofsecond order, Proceedings ofthe American Mathematical Society (1952), 791–793 ´ O A Ladyˇ ... instance, Ladyˇ enskaja and Ural’ceva [5] for an account on this topic Consequently, we z will tacitly assume the existence of classical solutions ofthe problems considered in this paper Maximum ... in what follows, we will show that the maximum value of Φ(x ,a, b) must occur at a critical point of u, if Ω is a convex domain in RN Suppose that Φ(x ,a, b) takes its maximum value at P on ∂Ω Then,...
... [11] A C Lazer and P J McKenna, On a singular nonlinear elliptic boundary-value problem, Proceedings ofthe American Mathematical Society 111 (1991), no 3, 721–730 [12] A Nachman and A Callegari, ... Zhang: Department of Mathematics and Informational Science, Yantai University, Yantai, Shandong 264005, China E-mail address: zhangzj@ytu.edu.cn Jianning Yu: College of Mathematics, Physics and ... elliptic equations, Mathematische Zeitschrift 147 (1976), no 1, 53–63 [15] Z Zhang, The asymptotic behaviour ofthe unique solution for the singular Lane-Emden-Fowler equation, Journal of Mathematical...
... theorems for a class of hypoelliptic ultraparabolic equations,” in Geometric Analysis of PDE and Several Complex Variables, vol 368 of Contemporary Math., pp 305–312, American Mathematical Society, ... Functional Analysis, vol 216, no 2, pp 455–490, 2004 [13] A E Kogoj and E Lanconelli, “Link of groups and applications to PDE’s,” to appear in Proceedings ofthe American Mathematical Society Alessia ... Mathematics Journal, vol 28, no 4, pp 545–557, 1979 [8] R Ja Glagoleva, “Liouville theorems for thesolutionofasecondorder linear parabolic equation with discontinuous coefficients,” Matematicheskie...
... supervisor of clinical management ofthe patient and interpretation of data All authors read and approved the final manuscript Consent Written informed consent was obtained from the patient for publication ... http://www.jhoonline.org/content/2/1/42 Therefore, imatinib was permanently withdrawn Consequently, the patient was treated with interferon alfa- 2a at a dose of million IU daily After year of IFN-based therapy, complete HR was achieved ... interests The authors declare that they have no competing interests Authors' contributions MC was responsible ofthe clinical management ofthe patient, acquisition of data, drafting the manuscript;...
... another main task ofthe department • Financial and Accounting department: this department deals with all financial and accounting matters Another main function is to manage the use of capital ... companies including a multinational join stock company Secondly, a multinational join stock company size and market share have been small The shortage of capital is main cause ofthe company’s ... company and distribution of ideas, goods, and services to create exchanges that satisfy individual and organizational goals”2 The writer ofthe book The Silk Road to International Marketing” had...
... practical and theoretical, ofthe governing and academic classes of this generation, as it has for a hundred years past I shall argue that the postulates ofthe classical theory are applicable ... EFFICIENCY OF CAPITAL 12 THE STATE OF LONG-TERM EXPECTATION 13 THEGENERAL THEORY OFTHE RATE OF INTEREST 14 THE CLASSICAL THEORY OFTHE RATE OF INTEREST o APPENDIX ON THE RATE OF INTEREST IN MARSHALL'S ... by the amount ofthe excess of normal profit over the actual profit I am afraid that this use of terms has caused considerable confusion, especially in the case ofthe correlative use of saving;...
... Indicates that no action takes place SetDefault Indicates that the DataColumn values in the child DataTable are to be set to the value in the DefaultValue property ofthe DataColumn SetNull Indicates ... DataTable named customersDT There is a row in the Orders table that also has a CustomerID of J6COM A copy of this row is stored in a DataTable named ordersDT The customersDT and ordersDT DataTable ... to the parent table Updating the Primary Key ofa Parent Table and Pushing the Change to the Database In this section you'll learn what happens if you attempt to update the primary key in a parent...