... for solving different classes ofsystemsofnonlinear matrix equations involving Lipshitzianmappings.2000 Mathematics Subject Classifications: 15A24; 65H05.Keywords: nonlinear matrix equations, ... 2011:89http://www.fixedpointtheoryandapplications.com/content/2011/1/89Page 2 of 10 RESEARC H Open Access Solving systemsofnonlinear matrix equations involving Lipshitzian mappingsMaher Berzig*and Bessem ... classes ofnonlinear matrix equations (see [8-21]). In this study, we considerthe following problem: Find (X1, X2, ,Xm) ẻ (P(n))msolution to the following system of nonlinear matrix equations: Xrii=...
... equalto I. The proof of uniqueness is complete.To prove the existence we note, first of all, that it suffices to provide aproof if one of the κi’s is equal to ±1 and one of the δj’s is equal ... solutions of isomonodromy problems for such systemsof difference equations. In the case of one-interval gap probability this has been done (in a different language) in[Bor], [BB]. One example of the ... ALEXEI BORODINMost of the results of the present paper can be carried over to the case of q-difference equationsof the form Y (qz)=A(z)Y (z). The q-differenceSchlesinger equations are, cf. (3)–(6),(3q)(4q)(5q)(6q)Bi(...
... 98 Personal Computer (PC) usingMATLAB 5 - Release 11 and thus, it may appear different on Apple or Unix based machines, or PC systemsusing earlier versions of MATLAB. â 2000 by Chapman & ... Detection of Swerling V Targets MATLAB Function “pd_swerling5.m” 4.6.2. Detection of Swerling I Targets MATLAB Function “pd_swerling1.m” 4.6.3. Detection of Swerling II Targets MATLAB Function ... 3.8. Resolving Range Ambiguity 3.9. Resolving Doppler Ambiguity 3.10. MATLAB Program “range_calc.m” Problems Chapter 4Radar Detection 4.1. Detection in the Presence of Noise MATLAB...
... in Difference Equations Volume 2010, Article ID 197263, 11 pagesdoi:10.1155/2010/197263Research ArticleExistence and Uniqueness of PeriodicSolutions for a Class ofNonlinearEquations withp-Laplacian-Like ... “Periodic solutions for nonlinearsystems with p-Laplacian-likeoperators,” Journal of Differential Equations, vol. 145, no. 2, pp. 367–393, 1998. 6 Advances in Difference Equations Noticing thatT0|εt− ... following nonlinearequations with p-Laplacian-like operators ϕxtfxtxtgxt et: some criteria to guarantee the existence and uniqueness of periodicsolutions of the...
... ArticlePositive Solutions of Singular Multipoint BoundaryValue Problems for Systemsof Nonlinear Second-Order Differential Equations on InfiniteIntervals in Banach SpacesXingqiu ZhangSchool of Mathematics, ... H3 be satisfied. Then theconclusion of Theorem 3.2 holds.Proof. The proof is almost the same as that of Theorem 3.2.Theonlydifference is that, instead of using condition H2, the conclusion ... 1.Very recently, by using Shauder fixed point theorem, Guo 15 obtained the existence of positive solutions for a class of nth-order nonlinear impulsive singular integro-differential equations in a...
... for systems of nonlinear second-order differential equations, ” Journal of Mathematical Analysis and Applica-tions, vol. 335, no. 2, pp. 1052–1060, 2007.[15] J. R. L. Webb, “Positive solutions of ... number of positive solutions ofnonlinear systems, ” Journal of MathematicalAnalysis and Applications, vol. 281, no. 1, pp. 287–306, 2003.[24] Y. Zhou and Y. Xu, “Positive solutions of three-point ... Rocky Moun-tain Journal of Mathematics, vol. 37, no. 1, pp. 215–228, 2007.[22] R. Ma, “Multiple nonnegative solutions of second-order systemsof boundary value problems,” Nonlinear Analysis: Theory,...
... Simulation ofSystemsUsingMATLAB and Simulink1.8 Hard and Soft Systems Peter Checkland is a British management scientist and professor ofSystems at Lancaster University. He devel-oped soft systems ... Simulink Model of Pitch Control in Flight Using Nonlinearities 4409.4.6 Study of Effects of Different Nonlinearities on Behavior of the Pitch Control Model 4409.4.6.1 Effects of Dead-Zone Nonlinearities ... Classification of Systems Systems can be classi ed on the basis of time frame, type of measurements taken, type of interactions, nature, type of components, etc.1.2.1 According to the Time FrameSystems...
... Simulation Using Matlab and Simulink1 IntroductionIn ME134, we will make extensive use ofMatlab and Simulink in order to design, analyze andsimulate the response of control systems. 2 Control of ... 12000.20.40.60.811.21.4time (secs)positionStep Response of second order systemFigure 5: Step Response of second order system6 “Hands-on” Design of Control Systems “Hands on Design systems refers to directly working ... x1is the position of m1, (relative to an inertial frame);x2is the velocity of m1; x3is the position of m2, (relative to an inertial frame); and x4is thevelocity of m2.3 Figure...
... of chromosomesComputation of the fitness of individualchromosomeSelection of chromosomes with goodfitnessReproduction of next generation of chromosomes/populationNoYesEndStartLimit on number of generation ... estimation of theexpected reliability. This would assist users in ascertaining the appropriateness of the rules extracted. Acase study was used to illustrate the possibility ofusing RClass* ... description of the condition of patients (symptoms) and the level of comfort experi-enced by them (decision) need to be transformed into real numbers. The transformation is achieved by using the...