application of first order differential equation in civil engineering

Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx

... Reports in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.16 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, vol. 373 of Mathematics ... contraction mapping principleimplies thatAn0has a unique ﬁxed point x∗ in CI,andsoA has a unique ﬁxed pointx∗ in CI; by the deﬁnition of A, A has a unique ﬁxed point x∗ in CI,thatis,x∗is ... solutions of nonlinear singular third -order two-point boundary value problem,”Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006.12 Y. Sun, “Positive solutions of...

báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc

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... 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first- order nonlinearintegro -differential equations of volterra typeYepeng Xing*and ... developments involving existence of solutions to BVPs forintegro -differential equations and impulsive integro -differential equations we can referto [3-17]. So far the m ain method appeared in the ... fol-lows from Corollary 2.2. In what fo llows we focus on the first- order integro -differential equations of mixedtype in the form of (1.2). The results presented in the following three statements aresimilar...

Báo cáo khoa học: "atterns in individual growth, branch population dynamics, and growth and mortality of first-order branches of Betula platyphylla in northern Japan" docx

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AN EVALUATION AND APPLICATION OF SOME MULTIMEDIA PRESENTATION SOFTWARE IN DESIGNING ENGLISH LECTURES AT FIT TNU

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a hierarchical classification of first-order

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... approached from the point of view of ﬁnite wordinstead of in nite word reading automata, as for instance in [6,10,11,12,13,14,15].Unfortunately, as opposed to the case of in nite words, the classiﬁcation ... procedures of the obtained hierarchies remain hard openproblems.Besides, this work is envisioned to be extended in several directions. First of all, it could be of interest to study the same kind of ... L(N )=L(AN). According to the construction given in the proof of Proposition 1, any evolution of the network N naturally induces a corresponding in nite initial path in theMuller automaton...

application of back-propagation neural network in data forec

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... dataMIN_VAL: Min value of dataTFmax: Max of transformation functionTFmin: Min of transformation functionOV: Original Value Application Application TrainingTrainingTraining tunes a neural ... training, and testing. CONTENTCONTENTIntroductionIntroductionSteps in data forecasting modeling Steps in data forecasting modeling using neural networkusing neural networkDetermine ... employed in training the network. The test set, often includes 10% to 30% of training set, is used in testing the generalization. And the verification set is set balance between the needs of enough...

Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx

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... compact in C(I), beacuse it coincides with the set of ﬁxedpoints of the operator T. Then, the real-valued continuous mappingx ∈ S −→ I(x) =t0+Lt0x(s) dsattains its maximum and its minimum, ... results for this kind of prob-lems. For the qualitative study of this type of problems we can cite thesurvey of Hartung et al. [8] and references therein.As main improvements in this article ... upper solutions. In Section 3, we prove some results on theexistence of lower and upper solutions with some examples of application. 2 Main resultsWe begin this section by introducing adequate...

Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc

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... soon.Lyapunov-type inequalities for a class of even -order differential equationsJournal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5Qi-Ming Zhang (zhqm20082008@sina.com)Xiaofei ... below).For information about publishing your research in Journal of Inequalities and Applications go tohttp://www.journalofinequalitiesandapplications.com/authors/instructions/For information ... contributed to these interesting2 Lyapunov-type inequalities for a class of even -order diﬀerential equationsQi-Ming Zhang∗1and Xiaofei He21College of Science, Hunan University of Technology,...

Báo cáo hóa học: " Global attractor of the extended FisherKolmogorov equation in Hk spaces" pot

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... type equations. J DifferEqn. 184(1), 78–96 (2002). doi:10.1006/jdeq.2001.413512. Li, CY: Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity. ... existence of global attractor for a class of infinite dimensional nonlinear dissipativedynamical systems. Chin Ann Math B. 26(3), 1–8 (2005)17. Temam, R: Infinite-Dimensional Dynamical Systems in ... PR China2College of Mathematics andSoftware Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR ChinaCompeting interestsThe author declares that they have no competing interests.Received:...

Báo cáo hóa học: " On the stability of an AQCQ-functional equation in random normed spaces" potx

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... Journal of Inequalities and Applications 2011, 2011:34http://www.journalofinequalitiesandapplications.com/content/2011/1/34Page 8 of 12 4. Gajda, Z: On stability of additive mappings. Int J ... normed spaces.Journal of Inequalities and Applications 2011 2011:34.Park et al. Journal of Inequalities and Applications 2011, 2011:34http://www.journalofinequalitiesandapplications.com/content/2011/1/34Page ... equa-tion, Hyers-Ulam stability1. IntroductionThe stability problem of functional equations originated from a question of Ulam [1] in 1940, concerning the stability of group homomorphisms. Let (G1,·)beagroupandlet(G2,*,d)...

báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf

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... most of the results in the discrete and the continuous calculus; for instance,some results obtained separately for delay diﬀerence equations and delay-diﬀerentialequations can be incorporated in ... is nondecreasing in s, hence e−Λ 1/e−Λt, s is nonincreasing in s see 4, Theorem 2.36.From4.15 and Advances in Diﬀerence Equations 3Theorem A is the generalization of the well-known ... ∞T, Hindawi Publishing CorporationAdvances in Diﬀerence EquationsVolume 2010, Article ID 873459, 22 pagesdoi:10.1155/2010/873459Research ArticleNonoscillation of First- Order Dynamic Equationswith...

Báo cáo hóa học: " Research Article Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions" docx

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... of Functional Equations in Several Variables , Progress in Nonlinear Dierential Equations and Their Applications, 34, Birkhăauser, Boston, Mass, USA, 1998. 10 Journal of Inequalities and ApplicationsOn ... domains, and applied theresult to the study of an interesting asymptotic behavior of the quadratic functions.As a matter of fact, we reformulate 1.1 and related inequality in the spaces of generalized ... 2 Journal of Inequalities and Applications in the spaces of generalized functions. Also, we obtain the general solution and provethe Hyers-Ulam stability of 1.1 in the spaces of generalized...

Báo cáo hóa học: " Research Article Iterated Oscillation Criteria for Delay Dynamic Equations of First Order" pdf

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... lim inft →∞yxt <∞. Taking lim inf on both sides of 2.22,wegetlim inft →∞yxt ≥ lim inft →∞zn0tαn0t≥ lim inft →∞zn0tlim inft →∞αn0t2.17 lim inft ... GraefWe obtain new suﬃcient conditions for the oscillation of all solutions of ﬁrst -order delay dynamicequations on arbitrary time scales, hence combining and extending results for correspondingdiﬀerential ... Oscillation Criteria for Delay DynamicEquations of First Order M. Bohner,1B. Karpuz,2andăO.ăOcalan21Department of Economics and Finance, Missouri University of Science and Technology, Rolla,MO...

STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER pptx

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... solution 0as a ﬁxed point of operator T, then it is the limit of a strictly increasing sequence of strict lower solutions (yn<Tyn in JN) and a strictly decreasing sequence of strict uppersolutions ... Cabada, V. Otero-Espinar, and R. L. Pouso, Existence and approximation of solutions for ﬁrst- order discontinuous diﬀerence equations with nonlinear global conditions in the presence of lower and upper ... stability and index theory for positive mappings and applications,Nonlinear Anal. 17 (1991), no. 3, 205–217.[5] E.N.DancerandP.Hess,Stability of ﬁxed points for order- preserving discrete-time...