discontinuous solutions of nonlinear differential equations

... Typically, dynamics of a network is represented by a system of nonlinear differential equations with or without delay.In the past two decades, the study involving qualitative behavior of nonlinear systems ... investigates the positivity of solutions and exponential stability of positive equilibrium in nonlinear differential equations with delays, focusing on various types of neural networks The main ... analysis of the positivity of solutions and the establishment of the exponential stability conditions for the positive equilibrium of such systems.This study addresses the positivity of solutions

Ngày tải lên: 31/07/2024, 16:30

... 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 ... 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 ential systems ... is concerned with the positivity of solutions and exponential stability ofpositive equilibrium of nonlinear differential equations with delays in various types of neuralnetworks Main contribution

Ngày tải lên: 31/07/2024, 17:01

... Difference Equations 2011, 2011:10 http://www.advancesindifferenceequations.com/content/2011/1/10 RESEARCH Open Access Positive solutions for a coupled system of nonlinear differential equations of mixed ... article Abstract In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders ⎧ ⎪ −Dα+ u(t) = f (t, v(t)), < t < ... School of Science, University of Jinan, Jinan 250022, Shandong, PR China Full list of author information is available at the end of the article Abstract In this article, we study the existence of

Ngày tải lên: 21/06/2014, 03:20

... Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron’s method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations ... periodic viscosity solutions of first-order Hamilton-Jacobi equations. Nunziante considered the existence and uniqueness of viscosity solutions of parabolic equations with discontinuous time dependence ... Problems the proof of existence of viscosity solutions of first-order Hamilton-Jacobi equations, Crandall et al. had applications of Perron’s Method to second-order partial differential equations in

Ngày tải lên: 21/06/2014, 20:20

... boundedness of the solutions of third-order nonlinear differential ¸ equations,” Kuwait Journal of Science & Engineering, vol 32, no 1, pp 39–48, 2005 28 E Tunc, “On the convergence of solutions of certain ... nonoscillation of all solutions of nonlinear functional differential equations In this connection, Parhi 10 established some sufficient conditions for oscillation of all solutions of the second-order ... nonpositive Journal of Inequalities and Applications Nonoscillation Behaviors of Solutions of 1.1 In this section, we obtain sufficient conditions for the nonoscillation of solutions of 1.1 Theorem

Ngày tải lên: 22/06/2014, 02:20

... Trang 1 Periodic solutions of some linear evolution systems of natural differential equations on 2-dimensional tore Dang Khanh Hoi* Department of General Education, Hoa Binh University, ... the linear differential equations on manifolds in which includes the external differential operators At research of such equations appear so named the small denominators, so such equations is ... bundle of manifolds X, C°(€) is the space of smooth differential forms and H*(€) is the Sobolev space of differential forms over X (see, [4]) By A we denote operator i(d+0), so-called natural differential

Ngày tải lên: 14/03/2014, 13:20

... that I u ≥ α, that is, assumption ii of Lemma 2.1 holds The proof of Theorem 1.2 is completed 14 Advances in Difference Equations Proof of Theorem 1.4 In view of Lemma 2.4, I ∈ C1 E, R We first ... periodic solutions of nonlinear difference equations by using the critical point theory in the literature; see 1–3 In general, 1.1 may be regarded as a discrete analogue of a special case of the ... papers 1–3, 11–14 , the authors studied the existence of periodic solutions, subharmonic solutions, and homoclinic solutions of some special forms of 1.1 by using the critical point theory These papers

Ngày tải lên: 21/06/2014, 11:20

... made available soon. Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6 ... Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming 1,3 , Li Yezhou 2 and Yuan Wenjun ∗3 1 Department of Mathematics and ... order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others. We also estimate the growth order of entire solutions of a

Ngày tải lên: 21/06/2014, 17:20

... Distribution of the zeros of the solutions of hyperbolic differential equations with maxima Rocky Mt J Math 37(4) (2007) 1271–1281 12 Otrocol, D, Rus, IA: Functional differential equations with maxima of ... existence and uniqueness of solutions of a class of fractional differential equations J Math Anal Appl 334 (2007) 1–10 Momani, SM, Ibrahim, RW: On a fractional integral equation of periodic functions ... Many studies of the existence of solutions are imposed such as periodicity, asymptotic stability and oscillatory [10–12] In [13], the authors discusses the existence of univalent solutions for

Ngày tải lên: 21/06/2014, 17:20

... limiting equations of integrodifferential equations, ” Funkcialaj Ekvacioj, vol 33, no 2, pp 345–362, 1990 10 M N Islam, Almost periodic solutions of nonlinear integral equations, ” Nonlinear ... periodic solutions of nonlinear Volterra difference equations with unbounded delay,” Journal of Difference Equations and Applications, vol 14, no... property of linear Volterra ... study the existence of almost periodic solutions for nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integro-differential equations by Y. Hamaya

Ngày tải lên: 22/06/2014, 11:20

... aim of this note is to establish certain order-theoretical properties of the set of solutions of the equation λx = T(x) + b, (1.1) where T : X → X is a (generally speaking, nonlinear and discontinuous) ... that operator (2.29) is nonlinear Mutual comparability of solutions of (1.1) The aim of this section is to establish certain conditions under which each two solutions of (1.1) lying in a certain ... assumptions of Corollary 3.4, one of the following two conditions is true: (a) A preserves the K-negligibility of elements of the set Π; (b) A is continuous in the topology of X Then all the solutions of

Ngày tải lên: 22/06/2014, 18:20

... y(1) = y(N + 1) 190 Periodic solutions of nonlinear second-order difference equations Solutions of this problem... when the roots of λ1 and λ2 of the characteristic equation ... PERIODIC SOLUTIONS OF NONLINEAR SECOND-ORDER DIFFERENCE EQUATIONS JES ´ US RODRIGUEZ AND DEBRA LYNN ETHERIDGE Received 6 August 2004 We establish conditions for the existence of periodic solutions of ... periodic solutions of every odd period larger than one. The results presented in this paper extend previous ones of Etheridge and Rodriguez [4] who studied the existence of periodic solutions of difference

Ngày tải lên: 23/06/2014, 00:20

... Joumal of Science, Mathematics - Physics 26 (2010) 17-27 Periodic solutions of some linear evolution svstems of natural differential equations on 2-dimensional tore Dans Khanh Hoi* Departmenl of ... the linear differential equations on manifolds in which includes the external differential operators At research of such equations appear so named the small denominators, so such equations is ... on the diffcrent types of the equations, in which appear small denominators We shall note, in particular, work of B.I Ptashnika (see, [2]) This work further develops part of the authors' result

Ngày tải lên: 14/12/2017, 14:55

... Riemann-Liouville Fractional Differential Equations The question of existence and uniqueness of solutions, i.e, the classical questions concerning ordinary differential equations involving fractional ... fractional differential equation by a Picard -type iteration process The proof of Theorem 2.1.1 is the consequence of two lemmas below 2.2 Existence of Solutions Lemma 2.2.1 Assume the hypotheses of ... Fractional Differential Equations 21 2.1 Main result 21 2.2 Existence of Solutions 22 2.3 Uniqueness of Solutions

Ngày tải lên: 23/12/2019, 16:17

... 16 Integration of Ordinary Differential Equations Note that for compatibility with bsstep the arrays y and d2y are of length 2n for a system of n second-order equations The values of y are stored ... vol 27, pp 505–535 16.6 Stiff Sets of Equations As soon as one deals with more than one first-order differential equation, the possibility of a stiff set of equations arises Stiffness occurs in ... 735 16.6 Stiff Sets of Equations y Figure 16.6.1 Example of an instability encountered in integrating a stiff equation (schematic) Here it is supposed that the equation has two solutions, shown

Ngày tải lên: 24/12/2013, 12:16

... F: Positive defined solution of two kinds of nonlinear matrix equations. Surv Math Appl. 4, 179–190 (2009) 12. Hasanov, V: Positive definite solutions of the matrix equations X ± A*X -q A = Q. ... for the study of solutions to systems of nonlinear matrix equations involving contractive mappings. We first review the Thompson metric on the open convex cone P(n)(n ≥ 2), the set of all n×n Hermitian ... different classes of systems of nonlinear matrix equations involving Lipshitzian mappings. 2000 Mathematics Subject Classifications: 15A24; 65H05. Keywords: nonlinear matrix equations, Lipshitzian

Ngày tải lên: 20/06/2014, 22:20

... asymptotic stability of the nonlinear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with infinite delays by means of the fixed point theory ... College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China Full list of author information is available at the end of the article Abstract The linear neutral differential ... decay rates of the solutions Keywords: fixed points, stability, neutral differential equation, variable delays Introduction The objective of this article is to investigate the stability of the zero

Ngày tải lên: 20/06/2014, 22:20

... rewarding, and the results about these equations offer prototypes towards the development of the basic theory of the global behavior of nonlinear difference equations of a big order, recently, many researchers ... models of a second class of diseases associated with the production of red cells, white cells, and platelets in the bone marrow The study of the nonlinear rational difference equations of a higher ... Advances in Difference Equations 2011, 2011:28 http://www.advancesindifferenceequations.com/content/2011/1/28 RESEARCH Open Access Global behavior of the solutions of some difference equations Elmetwally

Ngày tải lên: 21/06/2014, 00:20

... 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 between solutions ... functions of one variable, which are solutions of ordinary differential equations or inequalities. There exist many generalizations of the above classical results. We list some of them below. Differential ... uniqueness of viscosity solutions for first order partial differential functional equations Ann Plon Math 59, 65–75 (1994) 15 Topolski, K: Classical methods for viscosity solutions of differential

Ngày tải lên: 21/06/2014, 02:20

... differential equations by extending the idea of 17, 18 This method leads to computable and efficient solutions to linear and nonlinear operator equations The corresponding solutions of the integer-order equations ... coefficients of like powers of p, we get the following set of equations: coefficient of p0 : Y0 ∞ L−1 ai,n Pn t , 3.11 n coefficient of p1 : Y1 L−1 fi i L−1 Yi,1 − L−1 Ni Yi,0 i i Now, we solve these equations ... integer-order equations are found to follow as special cases of those of fractional-order equations We consider the system of fractional-order equations of the form Dαi yi t Fi t, y1 , y2 , y3 , , yn

Ngày tải lên: 21/06/2014, 05:20