differential equations of first order but higher degree

... class of four-point nonlocal boundary value problem of nonlinear integrodifferential equations of fractional order by applying some fixed point theorems. On the other hand, impulsive differential equations ... differential equations, ” Applicable Analysis, vol. 87, no. 7, pp. 851–863, 2008. 7 V. D. Gejji, “Positive solutions of a system of non-autonomous fractional differential equations, ” Journal of Mathematical ... Section 2. To the best of our knowledge, this is the first time in the literatures that a nonlocal boundary value problem of impulsive differential equations of fractional order is considered. ...

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... Difference Equations 2011, 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 ... the existence of solutions for first- order nonlinear integro -differential equations with boundary value conditions. Our methods to prove the existence of solutions involve new differential inequalities and ... for first order impulsive integro -differential equations of mixed type. J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.047 8. Jankowski, T, Jankowski, R: On integro -differential equations...

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... in the theory of first- order partial differential equations, including questions such as estimates of solutions of initial problems, estimates of domains of solutions, estimates of the difference ... infinite systems of differential functional equations and strongly coupled infinite systems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980) Kamont Journal of Inequalities ... Functional differential inequalities, Haar pyramid, Comparison the orems, Weak solutions of initial problems 1 Introduction Two types of results on first- order partial differential or functional differential...

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... delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008. 10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... Article Nonoscillation of First- Order Dynamic Equations with Several Delays Elena Braverman 1 and Basáak Karpuz 2 1 Department of Mathematics and Statistics, University of Calgary, 2500 University ... uniqueness of solutions to systems of delay dynamic equations on time scales,” http://arxiv.org/abs/1001.0737v3 . 6 M. Bohner, “Some oscillation criteria for first order delay dynamic equations, ”...

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...  height ω ω degree 1 degree 2 degree 3 degree ω degree ω +1 degree ω · 2+1 degree ω · 2 Fig. 6. The RNN hierarchy The following result provides a detailed description of the decidability procedure of ... extended in several directions. First of all, it could be of interest to study the same kind of hierarchical classification A Hierarchical Classification of First- Order Recurrent Neural Networks ... Hierarchical Classification of First- Order Recurrent Neural Networks 151 hierarchy is actually a well-ordering. In fact, the RNN hierarchy consists of an alternating succession of non-self-dual and...

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... with this, one of the first questions of the general theory of boundary value problems for quasilinear elliptic equations of the form (1)is the question of distinguishing classes of equations for ... the proof of an a priori estimate of the Hdlder norm IIulIc^(u) for solutions of uniformly elliptic equations. V. The estimate of maxnl vul for equations with structure described in terms of the ... conditions following from (1.7.1). The class of equations determined by conditions (1.8.1) contains as special cases some classes of equations of the type of equations of surfaces with prescribed mean curvature...

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... Trujillo JJ: Differential equations of fractional order: methods, results and problem. I Appl Anal 2001, 78:153-192. 6. Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, ... Recently, there are a large number of papers dealing with the existence of solutions of nonlinear fractional differential equations by the use of techniques of nonlinear analysis (fixed point ... uniqueness of solutions for coupled systems of higher -order nonlinear fractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17. 30. Babakhani A: Positive solutions for system of nonlinear...

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... delay differential equations of higher order for p(t) = ± 1. Arch Math. 40, 359–366 (2004) 16. Tang, S, Li, T, Thandapani, E: Oscillation of higher -order half-linear neutral differential equations. ... tends to zero as t đ . Proof. The proof of the corollary is similar to the proof of Corollary 3.3 and so it is omitted. From the above results on the oscillation of odd -order differential equation ... oscillation of third -order quasi-linear neutral functional differential equations. Arch Math. 47, 181–199 (2011) 18. Yildiz, MK, Öcalan, Ö: Oscillation results of higher -order nonlinear neutral delay differential...

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... differential equations, while studies on higher -order neutral functional differential equations are rather infrequent, especially on higher -order p-Laplacian neutral functional differential equations. ... and Lyapunov Stability of Periodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren, 1 Wing-Sum Cheung, 2 and Zhibo Cheng 1 1 Department of Mathematics, Zhengzhou ... kind of second order neutral functional differential equations, ” Applied Mathematics and Computation, vol. 190, no. 2, pp. 1394–1401, 2007. 7 Q. Wang and B. Dai, “Three periodic solutions of nonlinear...

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... solutions), unfortunately often identified in the literature on lower and upper solutions. First- order differential equations with state-dependent deviated argu- ments have received a lot of attention in ... compact set of fixed points in C(I), which are exactly the solutions of problem (4). Claim 2: Every solution x of (4) satisfies α ≤ x ≤ β on I and, therefore, it is a solution of (1) in [α, β]. First, ... [2–7] which deal with existence 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...

Ngày tải lên: 20/06/2014, 20:20

... 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 He (hexiaofei525@sina.com) ISSN ... 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, ... inequalities for certain higher order differential equations. Appl. Math. Comput. 216, 368–373 (2010) [18] He, X, Tang, XH: Lyapunov-type inequalities for even order differential equations. Commun. Pure...

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... more accurate than integer- order models, i.e., there are more degrees of freedom in the fractional -order models. In consequence, the subject of fractional differential equations is gaining much ... applications of integer order differential equations wit h deviat ed arguments, we refer the reader to the refer- ences [39-45]. As far as we know, fractional order differential equations with ... some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first- order impulsive differential equations with advanced...

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