application of first order differential equation in civil engineering

... 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 principle implies that  A n 0 has a unique fixed point x ∗ in CI,andso  A has a unique fixed point x ∗ 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...

Ngày tải lên: 21/06/2014, 05:20

... 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page 14 of 17 RESEARCH Open Access Some new results for BVPs of first- order nonlinear integro -differential equations of volterra type Yepeng Xing * and ... developments involving existence of solutions to BVPs for integro -differential equations and impulsive integro -differential equations we can refer to [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 mixed type in the form of (1.2). The results presented in the following three statements are similar...

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... approached from the point of view of finite word instead 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 open problems. 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(A N ).  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 the Muller automaton...

Ngày tải lên: 28/04/2014, 10:06

... data MIN_VAL: Min value of data TFmax: Max of transformation function TFmin: Min of transformation function OV: Original Value Application Application Training Training Training tunes a neural ... training, and testing. CONTENT CONTENT Introduction Introduction Steps in data forecasting modeling Steps in data forecasting modeling using neural network using neural network Determine ... 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...

Ngày tải lên: 28/04/2014, 10:18

... compact in C(I), beacuse it coincides with the set of fixed points of the operator T. Then, the real-valued continuous mapping x ∈ S −→ I(x) =  t 0 +L t 0 x(s) ds attains its maximum and its minimum, ... results for this kind of prob- lems. For the qualitative study of this type of problems we can cite the survey of Hartung et al. [8] and references therein. As main improvements in this article ... upper solutions. In Section 3, we prove some results on the existence of lower and upper solutions with some examples of application. 2 Main results We begin this section by introducing adequate...

Ngày tải lên: 20/06/2014, 20:20

... soon. Lyapunov-type inequalities for a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5 Qi-Ming Zhang (zhqm20082008@sina.com) Xiaofei ... below). For information about publishing your research in Journal of Inequalities and Applications go to http://www.journalofinequalitiesandapplications.com/authors/instructions/ For information ... contributed to these interesting 2 Lyapunov-type inequalities for a class of even -order differential equations Qi-Ming Zhang ∗1 and Xiaofei He 2 1 College of Science, Hunan University of Technology,...

Ngày tải lên: 20/06/2014, 21:20

... type equations. J Differ Eqn. 184(1), 78–96 (2002). doi:10.1006/jdeq.2001.4135 12. 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 dissipative dynamical systems. Chin Ann Math B. 26(3), 1–8 (2005) 17. Temam, R: Infinite-Dimensional Dynamical Systems in ... PR China 2 College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR China Competing interests The author declares that they have no competing interests. Received:...

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... Journal of Inequalities and Applications 2011, 2011:34 http://www.journalofinequalitiesandapplications.com/content/2011/1/34 Page 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, 2011:34 http://www.journalofinequalitiesandapplications.com/content/2011/1/34 Page ... equa- tion, Hyers-Ulam stability 1. Introduction The stability problem of functional equations originated from a question of Ulam [1] in 1940, concerning the stability of group homomorphisms. Let (G 1 ,·)beagroupandlet (G 2 ,*,d)...

Ngày tải lên: 21/06/2014, 01:20

... most of the results in the discrete and the continuous calculus; for instance, some results obtained separately for delay difference equations and delay-differential equations 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 3 Theorem A is the generalization of the well-known ... ∞ T , Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 873459, 22 pages doi:10.1155/2010/873459 Research Article Nonoscillation of First- Order Dynamic Equations with...

Ngày tải lên: 21/06/2014, 11:20

... of Functional Equations in Several Variables , Progress in Nonlinear Dierential Equations and Their Applications, 34, Birkh ă auser, Boston, Mass, USA, 1998. 10 Journal of Inequalities and Applications On ... domains, and applied the result 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 prove the Hyers-Ulam stability of 1.1 in the spaces of generalized...

Ngày tải lên: 22/06/2014, 02:20

... lim inf t →∞ y x t < ∞. Taking lim inf on both sides of 2.22,weget lim inf t →∞ y x t ≥ lim inf t →∞  z n 0 tα n 0 t  ≥ lim inf t →∞ z n 0 tlim inf t →∞ α n 0 t 2.17  lim inf t ... Graef We obtain new sufficient conditions for the oscillation of all solutions of first -order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential ... Oscillation Criteria for Delay Dynamic Equations of First Order M. Bohner, 1 B. Karpuz, 2 and ă O. ă Ocalan 2 1 Department of Economics and Finance, Missouri University of Science and Technology, Rolla, MO...

Ngày tải lên: 22/06/2014, 11:20

... solution 0 as a fixed point of operator T, then it is the limit of a strictly increasing sequence of strict lower solutions (y n <Ty n in J N ) and a strictly decreasing sequence of strict upper solutions ... 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...

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