finding the general solution of a second order nonhomogeneous differential equation

... interpretation, and modification of the initial version of this study Author details Department of Differential Equation, Institute of Mathematics and Mechanics-Azerbaijan National Academy of Science, ... regularized trace of the considered problem will be studied It is clear that because of the 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...

Ngày tải lên: 21/06/2014, 02:20

... 4707–4717 [10] G Papaschinopoulos and C J Schinas, Global asymptotic stability and oscillation of a 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...

Ngày tải lên: 22/06/2014, 22:20

... 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 of the 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 a solution in A2 j −1 (∞ ,a) The proof is complete A similar theorem holds when m is odd, the...

Ngày tải lên: 22/06/2014, 22:20

... 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 of the 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...

Ngày tải lên: 21/06/2014, 20:20

... 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...

Ngày tải lên: 17/03/2014, 15:20

... nontrivial If the solution is a nontrivial solution, then we can further divide the solution into two cases: non-oscillatory solution and oscillatory solution A nontrivial solution {xn }∞ of n=−1 Equation ... 1-, Proof By Lemma 2.3, one can see that the length of a negative semicycle is at most 3, and a positive semicycle is at most On the basis of the strictly oscillatory character of the solution, ... x of Equation (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...

Ngày tải lên: 20/06/2014, 22:20

... takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear difference equation 3.8 From 10 , any solution of the “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 of a 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...

Ngày tải lên: 21/06/2014, 11:20

... 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, ≤...

Ngày tải lên: 21/06/2014, 11:20

... 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...

Ngày tải lên: 21/06/2014, 18:20

... 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 of the American Mathematical Society Alessia ... Mathematics Journal, vol 28, no 4, pp 545–557, 1979 [8] R Ja Glagoleva, “Liouville theorems for the solution of a second order linear parabolic equation with discontinuous coefficients,” Matematicheskie...

Ngày tải lên: 22/06/2014, 19:20

... failures of lead-sheathed cables at the Kennedy space center, prediction of the occurrence of geomagnetic storms, and estimation of the 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 of a distribution, The Annals of Statistics ... prediction of the 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 of the corrosion...

Ngày tải lên: 22/06/2014, 22:20

... Cristian Enache 13 [4] [5] [6] [7] [8] [9] [10] , A remark on linear elliptic differential equations of second order, Proceedings of the 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 of the 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,...

Ngày tải lên: 22/06/2014, 22:20

... [11] A C Lazer and P J McKenna, On a singular nonlinear elliptic boundary-value problem, Proceedings of the 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 of the unique solution for the singular Lane-Emden-Fowler equation, Journal of Mathematical...

Ngày tải lên: 22/06/2014, 22:20

... 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 of the American Mathematical Society Alessia ... Mathematics Journal, vol 28, no 4, pp 545–557, 1979 [8] R Ja Glagoleva, “Liouville theorems for the solution of a second order linear parabolic equation with discontinuous coefficients,” Matematicheskie...

Ngày tải lên: 22/06/2014, 22:20

... supervisor of clinical management of the 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 of the clinical management of the patient, acquisition of data, drafting the manuscript;...

Ngày tải lên: 10/08/2014, 22:20

... another main task of the 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 of the company’s ... company and distribution of ideas, goods, and services to create exchanges that satisfy individual and organizational goals”2 The writer of the book The Silk Road to International Marketing” had...

Ngày tải lên: 27/10/2012, 16:51

... practical and theoretical, of the governing and academic classes of this generation, as it has for a hundred years past I shall argue that the postulates of the classical theory are applicable ... EFFICIENCY OF CAPITAL 12 THE STATE OF LONG-TERM EXPECTATION 13 THE GENERAL THEORY OF THE RATE OF INTEREST 14 THE CLASSICAL THEORY OF THE RATE OF INTEREST o APPENDIX ON THE RATE OF INTEREST IN MARSHALL'S ... by the amount of the excess of normal profit over the actual profit I am afraid that this use of terms has caused considerable confusion, especially in the case of the correlative use of saving;...

Ngày tải lên: 15/12/2013, 21:15

Ngày tải lên: 17/12/2013, 15:18

... 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 of the 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 of a 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...

Ngày tải lên: 24/12/2013, 01:17