finding solutions to second and higher order differential equations

... D R Anderson, Solutions to second- order three-point problems on time scales,” Journal of Difference Equations and Applications, vol 8, no 8, pp 673–688, 2002 D R Anderson and I Y Karaca, Higher- order ... 08DZ2271900 , and the Specialized Research Fund for the Doctoral Program of Higher Education of China 2007035805 References F M Atici and G Sh Guseinov, “On Green’s functions and positive solutions ... Perera, and D R Vivero, “Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations, ” Advances in Difference Equations, ...

Ngày tải lên: 21/06/2014, 20:20

... (a, v ) e ~ i( ,'’>l+ - + ,,? l)d p d

Ngày tải lên: 08/04/2015, 15:36

... given lower and upper solutions The first result ensures the existence of maximal and minimal solutions, and the second one establishes the existence of the greatest and the least solutions in ... According to Remark 2, the lower solution α and the upper solution β satisfy, respectively, inequalities (7) and (8) and, conversely, if α and β satisfy (7) and (8) then they are lower and upper solutions ... minimal solution and least solution (or maximal and greatest solutions) , unfortunately often identified in the literature on lower and upper solutions First -order differential equations with state-dependent...

Ngày tải lên: 20/06/2014, 20:20

... Society, Rhode Island, 2001 [17] V A Kondrat’ev and E M Landis, “Qualitative theory of second- order linear partial differential equations, ” in Partial Differential Equations, 3, Itogi Nauki i Tekhniki, ... [13] E M Landis, Second Order Equations of Elliptic and Parabolic Type, Nauka, Moscow, 1971, English translation: American Mathematical Society, Rhode Island, 1997 [14] N V Krylov and M Safonov, ... Krylov, Second- Order Nonlinear Elliptic and Parabolic Equations, Nauka, Moscow, 1985, English translation: Reidel, Dordrecht, 1987 [4] O A Ladyzhenskaya, V A Solonnikov, and N N Ural’tseva, Linear and...

Ngày tải lên: 22/06/2014, 22:20

... which are necessary and sufficient for u to be at least in C1 0, T To clarify the aims of this paper and to show that it is necessary to develop a new technique to treat the nonstandard equation given ... Numerical solutions of 5.43 - 5.1a and a size is decreasing according to h 1/2n in the vicinity of t a and t b The step or f2 t, x, y x3 − ex y √ 1−t cos cos t |x| 5.39 In order to show the ... k, and M Tvrdy, “Singularities and Laplacians in boundary value problems a e ˚ ´ for nonlinear ordinary differential equations, ” in Handbook of Differential Equations: Ordinary a Differential Equations, ...

Ngày tải lên: 21/06/2014, 20:20

... that under 1.3 – 1.8 , 1.9 the set of solutions of 1.1 , 1.10 for B ∈ L0 , consists of escape solutions and of oscillatory solutions having values in L0 , L and of at least one homoclinic solution ... local maximum between the first and the second zero, then just one negative local minimum between the second and the third zero, and so on By 3.8 , 3.9 , 1.4 – 1.6 and 1.13 , these maxima are decreasing ... previous arguments and get that either u has a finite number of zeros and then fulfils 2.21 or u is oscillatory Remark 3.4 According to the proof of Theorem 3.3, we see that if u is oscillatory, it has...

Ngày tải lên: 21/06/2014, 20:20

... for second- order delay dynamic equations on time scales,” Advances in Difference Equations, vol 2007, Article ID 70730, 16 pages, 2007 14 Z Han, B Shi, and S.-R Sun, “Oscillation of second- order ... nonoscillatory solutions to neutral dynamic equations on time scales,” Journal of Mathematical Analysis and Applications, vol 335, no 2, pp 751–762, 2007 25 Y S Chen, “Existence of nonoscillatory solutions ... similar to that of Theorem 2.3 and hence omitted The proof is complete We will give the following example to illustrate our main results Example 2.6 Consider the second- order delay dynamic equations...

Ngày tải lên: 21/06/2014, 20:20

... inequalities, relative to the natural upper and lower solutions, we develop two monotone sequences which converge uniformly and monotonically to the unique solution of (3.1) and the order of convergence ... uniformly and monotonically to the unique solution of (3.1) T G Melton and A S Vatsala Let us consider the order of convergence of {αn (t)} and {βn (t)} to the unique solution u(t) of (3.1) To this, ... nonincreasing and fu + gu < on Ω Then there exist monotone sequences {αn (t)} and {βn (t)}, n ≥ which converge uniformly and monotonically to the unique solution of (3.1) and the convergence is of order...

Ngày tải lên: 22/06/2014, 22:20

... hand, is the study of a stock’s price Some of you may find that fundamental analysis is all you need in order to be a successful investor After all, understanding and applying fundamental stock ... take the time to read the annual report, call investor relations for an investment packet, and log on to the company Web site You don’t want to invest a lot of money in a stock without finding out ... stocks condensed on one page Nearly all of the fundamental information you need to know about a stock can be found in this periodical.) 92 UNDERSTANDING STOCKS Talk to the Managers Many investors...

Ngày tải lên: 24/10/2013, 08:20

... q to L and AŒq C : : r to R, has values x in L and y in R such that x > y Consider an inversion i; j /, and let x D AŒi and y D AŒj , so that i < j and x > y We claim that if we were to run ... i.e., that bi aj bj  bj aj bi Since A and B are sorted into monotonically decreasing order and i < j , we have  aj and bi  bj Since and aj are positive and bi bj is nonnegative, we have bi ... slot, and updating the pointer in the slot that pointed to j to point to the new slot Then insert the new element in the now-empty slot as usual To update the pointer to j , it is necessary to find...

Ngày tải lên: 02/11/2013, 08:12

...  be open and assume that Denition Let we say that equals up to order if partial derivatives of orders up to agree at the origin If order , we denote that by For equals and all up to $ ! $ Ơ ... integration process, and this allows Taylor model based integrators to reduce the wrapping effect to high order (Makino and Berz, 2000) Moreover, in the context of this algorithm, expanding the consistent ... more general higher order ODEs 3.1 Example Earlier, we indicated that the presented method can also be used for the direct integration of higher order problems To illustrate this, and to show how...

Ngày tải lên: 12/01/2014, 21:46

Ngày tải lên: 24/04/2014, 17:17

... Periodic solutions of second order nonlinear functional difference equations Archivum Math 43, 67–74 (2007) [14] Wang, W, Chen, X: Positive periodic solutions for higher order functional difference equations ... and τ (n + ω) = τ (n), ω, m, k ∈ N, and obtained existence theorem for single and multiple positive periodic solutions of (1.3) Our aim of this article is to study the existence of periodic solutions ... a important topic, and the reader can consult [1–7] and the references therein There are many good results about existence of periodic solutions for first -order functional difference equations [8–12]...

Ngày tải lên: 18/06/2014, 22:20

... boundary value problems for second order differential equations with deviating arguments J Math Anal Appl 2005, 312:620-636 Ma R: Multiplicity of positive solutions for second- order three-point boundary ... non-linear differential equations of fractional order Nonlinear Anal 2011, 74:792-804 Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses and antiperiodic ... Publishers, Dordrecht 1999 Burton TA: Differential inequalities for integral and delay differential equations In Comparison Methods and Stability Theory Lecture Notes in Pure and Applied Mathematics...

Ngày tải lên: 21/06/2014, 03:20

... above, we select the topic “Some solutions to protect and restore community based mangrove forest in Hau Loc, Thanh Hoa” to share experiences and discuss solutions to protect and restore the mangrove ... That is due to the finding of the reasons why the mangrove forests could not well develop, and appropriate solutions to protect and restore mangrove forest based on local people and community ... community, and contribute to retain security and defense * Economical objectives Rehabilitate and develop mangrove forest resource in both quantity and quality, and to partly meet the increasing demand...

Ngày tải lên: 21/06/2014, 04:20

... and nonoscillation of solutions of various equations on time scales, and we refer the reader to 5–18 Recently, Erbe et al 19–21 considered the asymptotic behavior of solutions of the third -order ... Applied Mathematics and Computing In press 18 T Sun, H Xi, X Peng, and W Yu, “Nonoscillatory solutions for higher- order neutral dynamic equations on time scales,” Abstract and Applied Analysis, ... M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 M Bohner and S H Saker, “Oscillation of second order nonlinear dynamic equations...

Ngày tải lên: 21/06/2014, 05:20

... harvesters to discuss and comment on the plan to plant, tend and protect mangrove forests To mobilize participation of local people to promote their experience and creativeness Local people understand ... community, and contribute to retain security and defense Economical objectives Increasing demand for the firewood, aquatic and sea food of the local people, also to improve their living standard ... after year due to strong tide, strong wind and the serious damage like barnacles Some experiences and solutions To organize meetings participated by local people, authorities, fish and sea food...

Ngày tải lên: 21/06/2014, 05:20

... numbers and functions αi ∈ C(J,J) for i = 1, , p Definitions of coupled lower and upper solutions, coupled quasisolutions, and minimal T Jankowski and W Szatanik and maximal coupled quasisolutions ... Computational and Applied Mathematics 136 (2001), no 1-2, 189–197 [7] D Jiang and J Wei, Monotone method for first- and second- order periodic boundary value problems and periodic solutions of functional ... differential equations of mixed type, Nonlinear [5] Analysis 64 (2006), no 9, 1984–1997 [6] D Jiang, M Fan, and A Wan, A monotone method for constructing extremal solutions to secondorder periodic...

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 06/07/2014, 15:18