examples of linear and nonlinear differential equations

... aim to bring together a group of top leaders on the fields of calculus of variations and nonlinear partial differential equations The list of speakers and the titles of lectures have been the following: ... Stability of Nonautonomous Differential Equations (2008) Vol 1927: L Ambrosio, L Caffarelli, M.G Crandall, L.C Evans, N Fusco, Calculus of Variations and NonLinear Partial Differential Equations ... world leaders in the field of viscosity solutions of partial differential equations, in particular nonlinear pde’s of implicit type Our choice has not been random; in fact we and other mathematicians

Ngày tải lên: 04/03/2019, 11:11

... solutions of some nonlinear differential equations of third order,” ¸ Nonlinear Dynamics and Systems Theory, vol 7, no 4, pp 419–430, 2007 24 C Tunc, “On the nonoscillation of solutions of nonhomogeneous ... 4, pp 775–786, 1993 14 N Parhi and P Das, “Oscillatory and asymptotic behaviour of a class of nonlinear functionaldifferential equations of third order,” Bulletin of the Calcutta Mathematical Society, ... Analysis and Applications, vol 109, no 2, pp 522–533, 1985 J R Graef and M Greguˇ , “Oscillatory properties of solutions of certain nonlinear third order s differential equations,” Nonlinear Studies,

Ngày tải lên: 22/06/2014, 02:20

... study of oscillatory and asymptotic behavior of solutions of difference equations Compared to second-order difference equations, the study of higher-order equations, and in particular fourth-order equations ... of fourth-order nonlinear difference equations The classification of nonoscillatory solutions is given Next, we divide the set of solutions of these equations into two types: F+ - and F− -solutions ... CLASS OF FOURTH-ORDER NONLINEAR DIFFERENCE EQUATIONS MAŁGORZATA MIGDA, ANNA MUSIELAK, AND EWA SCHMEIDEL Received 18 August 2003 and in revised form 22 October 2003 We consider a class of fourth-order

Ngày tải lên: 23/06/2014, 00:20

... exponents of linear DAEs of index In Sec we investigate exponential asymptotic stability of linear DAEs with respect to small linear as well as nonlinear perturbation The Central Exponent of Linear ... a system of ordinary differential equations (ODEs) and a system of algebraic equations so that we can use methods and results of the theory of ODEs Many results on stability properties of DAEs ... a concept of the central exponent of linear differential algebraic equations (DAEs) similar to the one of linear ordinary differential equations (ODEs), and use it for investigation of asymptotic

Ngày tải lên: 06/08/2014, 05:20

... Magni, and R. Scattolini. Stability and robustness of nonlinear receding horizon control. Workshop on Nonlinear Model Based Predictive Control, 1998. [23] E. De Santis, M. D. Di Benedetto, and L. ... termination of this algorithm are given 1.2.3 Nonlinear MPC of Low Computational Complexity Since most physical systems are highly nonlinear, the performance of MPC based on linear ... the design of MPC controllers for constrained LBD, PWLBD and nonlinear systems. Most practical systems, such as engineering, biological and economic systems, are often described by linear models

Ngày tải lên: 11/09/2015, 14:29

... static nonlinearity models Moreover, the nonlinear dynamics of spatial phase are intricately linked to the processing of motion and direction selectivity However, the nonlinear dynamic responses of ... V1 neurons and, at the same time, the dynamics of the visual receptive field, in a manner which could distinguish between the linear and nonlinear parts of the neuronal response, and would permit ... LINEAR AND NONLINEAR DYNAMICS OF RECEPTIVE FIELDS IN PRIMARY VISUAL CORTEX A thesis presented to the faculty of Weill Graduate School of Medical Science of Cornell University

Ngày tải lên: 18/10/2022, 17:43

... LIBRARY OF MATLAB SCRIPTS FOR ILLUSTRATION AND ANIMATION OF SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS Raymond Jacquot, University of Wyoming Ray Jacquot, Ph.D., P.E., received his BSME and MSME ... is on the faculty of the Department of Electrical and Computer Engineering at the University of Wyoming, Laramie, WY He was previously Professor and Deputy Department Head of the Electrical Engineering ... variety of partial differential equation solutions.9,10 There are a number of approaches to the animation of distributed parameter systems and one is the application of finite element software

Ngày tải lên: 01/11/2022, 23:30

... of partial differential equations and stochastic differential equations Nicholas A Baran1 , George Yin1* and Chao Zhu2 * Correspondence: gyin@math.wayne.edu Department of Mathematics, Wayne State ... measurable and uniformly bounded for all i, j ∈ M and x ∈ Rn ; (ii) qij (x) ≥  for all x ∈ Rn and j = i; and (iii) qii (x) = – j=i qij (x) for all x ∈ Rn and i ∈ M Let w(·) be an Rn -valued standard ... systems One of the representatives in the class of hybrid system is a switching diffusion process A switching diffusion process can be thought of as a number of diffusion processes coupled by a random

Ngày tải lên: 04/12/2022, 10:35

... for nonlinear systems, in particular, for models arising in artificial and/or biological neural networks Typically, dynamics of a network is represented by a system of nonlinear differential equations ... study of positive nonlinear systems in neural networks For neural systems, the nonlinearity of neuron activation functions makes the study of positive neural networks more complicated and challenging, ... systems and other branches of pure and applied mathematics.After a long period of evolution and advancement, artificial intelligence, which had a profound impact on almost fields of science and engineering,

Ngày tải lên: 31/07/2024, 16:30

... the research of positive solutions and stability of nonlinear differential equations withdelays B Research aims The thesis focuses on problems of stability of several classes of nonlinear positive ... for nonlinear systems, in particular, for models arising in artificial and/orbiological neural networks Typically, dynamics of a network is represented by a system ofnonlinear differential equations ... Trang 1MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATION ——————–o0o——————— LE THI HONG DUNG STABILITY OF POSITIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH DELAYS

Ngày tải lên: 31/07/2024, 17:01

... eliminate effects of outliers for the linear regression.Future WorksIn this research, we are interest in the improvement and application of linear and nonlinear system for analysis of transduced ... patterns x i to describe w, and we have a sparse expansion of w in term of x i In the situations where the nonlinear models are required to adequate model data, we can use a nonlinear mapping to map ... different random indices and F is a constant factor used to control the amplification of the differential variation ii) Crossover: the trial vector is formed so that if or if and rand rand= ⎨⎧⎩

Ngày tải lên: 10/09/2024, 10:43

... Dirichlet Problem for Lipschitz Domain The Setup 11 Proofs of Theorem 1.1 and Theorem 1.2 19 Proof of Theorem 1.6 25 Proof of Theorem 1.3 37 Proof of Theorem 1.4 47 Dirichlet Problem for Lipschitz ... ) and thus u(x; y) = py v(x) where v Lp(Rn): For the proof of the existence of non-tangential limits of py u0 we refer to e.g Stein/Weiss 2] The notion of solution of the Dirichlet problem and ... center of the support of f (c) Z @D M (ru)2jQ ? Q0jn?1d C: Here C and " > are independent of the H1;at(@D) ? L2 atom f Proof If we perform a change of scale so that the support of f is of size

Ngày tải lên: 31/03/2014, 15:16

... Limit Properties of Functions Satisfying Nonlinear Singular Equations In this section we assume that the function u ∈ AC1... vol 3 of Handbook of Differential ˇ Equations, pp 607–722, ... Goverment MSM6198959214 and by the Grant no A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic References 1 J W Lee and D O’Regan, “Existence of solutions to ... solvability of nonlinear singular equations subject to different types of boundary conditions In this section, we utilize Theorem 4.1 to show the existence of solutions. .. existence of at

Ngày tải lên: 21/06/2014, 20:20

... N J Ford, C T H Baker, and J A Roberts, Nonlinear Volterra integro-differential equations— stability and numerical stability of θ-methods, Journal of Integral Equations and Applications 10 (1998), ... Edwards, N J Ford, J A Roberts, and L E Shakhet, Stability of a discrete nonlinear integrodifferential equation of convolution type, Stability and Control: Theory and Applications An International ... Solution of Volterra Equations, CWI Monographs, vol 3, North-Holland, Amsterdam, 1986 [4] S Busenberg and K L Cooke, The effect of integral conditions in certain equations modelling epidemics and population

Ngày tải lên: 22/06/2014, 22:20

... differential equations and the initial or boundary conditions may con- tain discontinuous nonlinearities; (5) problems on unbounded intervals; (6) finite and infinite systems of initial and boundary ... boundary value problems, Nonlinear Anal 47 a (2001), no 4, 2387–2394, Proceedings of the Third World Congress of Nonlinear Analysts, Part 4 (Catania, 2000) S Carl and S Heikkil¨ 179 a [6] ... 168 Nonsmooth and nonlocal differential equations Proof. Assume that u is a solution of (3.1). The differential equation of (3.1) and the definition (3.2)ofX imply that  s r d dt  p(t)u(t)  dt

Ngày tải lên: 23/06/2014, 00:20

... second Linear and Nonlinear Oblivious Data Hiding 2103 part, a novel data hiding algorithm is proposed, and its per- formance is analyzed and compared with existing schemes. The rest of this ... the centers of the continuous segments, and the signaling has a pattern like XOXO as depicted in Figure 10. Signal points X and O have equal a priori prob- abilities. Linear and Nonlinear Oblivious ... vice president of R&D of IDT Corporation (NYSE: IDT) between June 2000 and September 2001 He was also the Founding President and CEO of PixWave... “Watermarking of uncompressed and compressed

Ngày tải lên: 23/06/2014, 01:20

... EFFORT AND EXPENSE HAVE GONE INTO THE DEVELOPMENT AND DOCUMENTATION OF SAP2000. THE PROGRAM HAS BEEN THOROUGHLY TESTED AND USED. IN USING THE PROGRAM, HOWEVER, THE USER ACCEPTS AND UNDERSTANDS ... 1 - 2 Overview of the Program 1 Overview of the Program SAP2000 is a stand-alone finite-element-based structural program for the analysis and design of civil structures. It offers an intuitive, ... spans 60 feet, and has a width and height of 12 feet each. The supports are roll- ers at one end, and pins at the other. The trusses and cross members are to be constructed of 2L4X4’s, while...

Ngày tải lên: 06/09/2012, 15:56

... Dimensions and tolerances – merge, selection, and snap tolerances; font sizes; zoom increment; and others  Design codes and their parameters  Colors of objects and results for display and printing ... i.e., as data organized in a set of tables with specified table names and column headings. These data include the definition of the model and the results of analysis and design. Tabular data can ... objects and elements. Groups A group is a named collection of objects. It may contain any number of objects of any number of types. Groups have many uses, including:  Quick selection of objects...

Ngày tải lên: 01/04/2014, 03:20

... 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 theore ... system of nonlinear fractional differential equations. Int J Differ Equ 2010, 2010:1-12. 28. Ahmad B, Nieto JJ: Existence results for a coupled system of nonlinear fractional differential equations ... existence and uniqueness of solutions for initial value problem of nonlinear fractional differential equations. 2010 Sixth IEEE/ASME International Conference on Mechatronic and Embedded Systems and...

Ngày tải lên: 21/06/2014, 03:20

... biotechnology, and economics. For an introduction of the basic theory of impulsive differential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of ... problems,” Journal of Mathematical Analysis and Applications, vol. 116, no. 2, pp. 415–426, 1986. 41 Z. Bai and H. Wang, “On positive solutions of some nonlinear fourth-order beam equations, ” Journal of Mathematical ... hinged ends and many nonlocal boundary conditions and established excellent existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic...

Ngày tải lên: 21/06/2014, 16:20