differential equations class 12 cbse

... 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) ... date 19 October 2011 Acceptance date 12 January 2012 Publication date 12 January 2012 Article URL http://www.journalofinequalitiesandapplications.com/content/2012/1/ This peer-reviewed article was ... Lyapunov-type inequalities for a class of even-order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China College

Ngày tải lên: 20/06/2014, 21:20

... OSCILLATION AND NONOSCILLATION THEOREMS FOR A CLASS OF EVEN-ORDER QUASILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS JELENA MANOJLOVI ´ C AND TOMOYUKI TANIGAWA Received 13 November ... Inequalities and Applications Volume 2006, Article ID 42120, Pages 1–22 DOI 10.1155/JIA/2006/42120 2 Quasilinear functional differential equations The objective of this paper is to study the oscillatory ... for a class of second order quasilinear functionaldifferential equations, Hiroshima Mathematical Journal 27 (1997), no 3, 449–466 Jelena Manojlovi´ : Department... differential equations,

Ngày tải lên: 22/06/2014, 21:20

... modeling of some real world problems by using differential equations is a warm area of research in last many years Here we, remark that partial differential equations have important applica-tions in ... and applications of fractional differential equations Amsterdam: Elsevier; 2006 [18] Luchko Y, Gorne Ro The initial value problem for some fractional differential equations with the Caputo derivative, ... Trang 1Stable numerical results to a class of time-space fractional partialdifferential equations via spectral method Kamal Shaha, Fahd Jaradb, Thabet Abdeljawadc,d,e,⇑

Ngày tải lên: 27/09/2020, 15:23

... functional differential equations of neutral type Ann Mat 185(3), 437–460 (2006) 123 B A Kyelem Akrid, T., Maniar, L., Ouhinou, A.: Periodic solutions of non-densely non-autonomous differential equations ... neutral differential equations understandably received most attention in the vast literature In this vast domain, one can cite the works done in [4,12,13] Also, it is well known that the partial differential ... Regularity results for some class of nonautonomous partial neutral functional differential equations with finite delay Bila Adolphe Kyelem1,2 Received: 30 October 2020 / Accepted: 12 February 2021 © The

Ngày tải lên: 10/03/2021, 15:55

... propose a class of methods to solve the parabolic Volterra integro-differential equations with bounded and unbounded domains More precisely, we change the parabolic Volterra integro-differential equations ... KEYWORDS Parabolic Volterra integral equations; integro-differential equations; partial differential equations 2010 MATHEMATICS SUBJECT CLASSIFICATIONS 45K05; 65M06; 65N12 Introduction In this paper, ... for Volterra integro-differential equations, Computing 12 (1974), pp 75–89 [5] H Brunner, T Tang and J Zhang, Numerical blow-Up of nonlinear parabolic integro-differential equations on unbounded

Ngày tải lên: 29/03/2021, 16:43

... Difference Equations 2014, 2014:221 http://www.advancesindifferenceequations.com/content/2014/1/221 RESEARCH Open Access Comparison principle and stability for a class of stochastic fractional differential ... 279-293 (2012) 12 Kilbas, AA, Srivastava, HM, Trujillo, JJ: Theory and Applications of Fractional Differential Equations Elsevier, Amsterdam (2006) 13 Ladas, GE, Lakshmikantham, V: Differential Equations ... article as: Lu et al.: Comparison principle and stability for a class of stochastic fractional differential equations Advances in Difference Equations 2014 2014:221 Page 11 of 11

Ngày tải lên: 02/11/2022, 08:57

... Advances in Difference Equations Volume 2010, Article ID 496936, 14 pages doi:10.1155/2010/496936 Research Article An Extension of the Invariance Principle for a Class of Differential Equations with ... following class of autonomous retarded functional differential equations xt ˙ fxt , λ, t > 0, λ ∈ Λ 1.1 is proved The main difficulty to prove an invariance principle for functional differential equations ... 4.7 given by   V φ1 , φ2 , φ3 , r, σ, b rφ12 0 4σφ22 0 4σφ32 0 ρ −h φ12 sds 4.8 Consider φ1 , φ2 , φ3  as being   φ1 , φ2 , φ3 rm φ12 0 4σm φ22 0 4σm φ32 0 4.9 and φ1

Ngày tải lên: 10/11/2023, 18:15

... Trang 345678 9 10 12 13 17 18 28 26 Reorder words to make the correct sentences. WRITE ON THE BOARD,PLEASE! Trang ... English, ……… 3 The longer he waited, ……… 4 The more electricity you use,……… the better I feel Trang 122 3 4 5 6 Trang 13IV DISCUSSION

Ngày tải lên: 29/09/2013, 13:10

... H & Wu, H (2007) Pullback attractors of non-autonomous reaction-diffusion equations J.Math Anal Appl 325, 1200–1215. Temam, R (1997) Infinite Dimensional Dynamical Systems in Mechanics and ... difference equations, P.A CLARKSON & F.W NIJHOFF (eds) 256 Aspects of Galois theory, H V ¨ OLKLEIN, J.G THOMPSON, D HARBATER & P M ¨ ULLER (eds) 257 An introduction to noncommutative differential ... semi-classical limit, M DIMASSI & J SJ ¨ OSTRAND 269 Ergodic theory and topological dynamics of group actions on homogeneous spaces, M.B BEKKA & M MAYER 271 Singular perturbations of differential

Ngày tải lên: 14/03/2014, 10:20

... in which includes the external differential operators At research of such equations appear so named the small denominators, so such equations is incorrect in the classical space There is extensive ... phrases: Natural differential operators, small denominators, spectrum of compact operators 1 Introduction Beside authors, as from A.A Dezin (see, [1]), considered the linear differential equations on ... 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 operator on manifold

Ngày tải lên: 14/03/2014, 13:20

... kinetic equations A Some physical PDE Trang 41 Compressible Euler equations2 Compressible Euler equations in one dimension a Computing entropy/entropy flux pairs VIII Probability and differential equations ... B Some general theories 1 Entropy and efficiency Trang 3IV Elliptic and parabolic equationsA Entropy and elliptic equations b Second derivatives in time c A differential form of Harnack’s inequality ... Trang 1Entropy and Partial Differential EquationsLawrence C Evans Department of Mathematics, UC Berkeley Inspiring Quotations A good many

Ngày tải lên: 17/03/2014, 14:29

... Trang 1P AR TIAL DIFFERENTIAL EQUA TIONSBJÖRN E J DAHLBERGCARLOS E KENIGISSN 0347-2809 DEPARTMENT OF MATHEMATICSCHALMERS ... operators on g But the compact operators in Bform a closed subspace in B, and hence T is compact Trang 12Proof of Lemma 1 and 2 Some basic facts:B: Assumef(P) = 0: We need 4) 9C > 0 :Z @ Ckfk L ... follow We now give the nal argument for the existence of a solution of the Dirichlet problem in 12I + T =D?S 1?1: Trang 17Prince-Chapter 1Dirichlet Problem for Lipschitz Domain The Setup A function

Ngày tải lên: 31/03/2014, 15:16

... Evolution Equations 127 1 Introduction 127 2 Regular Equations 128 3 Pseudoparabolic Equations 132 4 Degenerate Equations 136 5 Examples 138 VISecond Order Evolution Equations 145 1 ... dierential equations Chapters V and VI provide the immediateextensions to cover evolution equations of second order and of implicit type In addition to the classical heat and wave equations with ... Evolution Equations 95 1 Introduction 95 2 The Cauchy Problem 98 v Trang 73 Generation of Semigroups 1006 Analytic Semigroups 113 7 Parabolic Equations 119 V Implicit Evolution Equations

Ngày tải lên: 31/03/2014, 15:56

... AN INTRODUCTION TO STOCHASTIC DIFFERENTIAL EQUATIONS VERSION 1.2 Lawrence C Evans Department of Mathematics UC Berkeley Chapter 1: Introduction ... majors and surveys without too many precise details random differential equations and some applications Stochastic differential equations is usually, and justly, regarded as a graduate level subject ... familiarity with probability theory, measure theory, ordinary differential equations, and perhaps partial differential equations as well This is all too much to expect of undergrads But white noise,

Ngày tải lên: 31/03/2014, 15:56

... Nonlinear Equations 108 5 Lyapunov Stability 110 6 Exercises 118 Chapter IX Invariant Sets 121 1 Introduction 121 2 Orbits and Flows 122 3 Invariant Sets 123 4 Limit Sets 125 5 ... Sets 125 5 Two Dimensional Systems 126 6 Exercises 128 Chapter X Hopf Bifurcation 129 1 Introduction 129 2 A Hopf Bifurcation Theorem 129 Trang 7TABLE OF CONTENTS viiChapter XI ... applied As dierential equations are equations which involve functions and theirderivatives as unknowns, we shall adopt throughout the view that dieren-tial equations are equations in spaces of

Ngày tải lên: 31/03/2014, 15:56

... Ordinary differential equations, dynamical systems,Sturm-Liouville equations Typeset by AMS-LATEX and Makeindex Version: February 18, 2004 Copyright c Trang 4§1.2 Classification of differential equations ... of differential equations However, any other program can be used aswell investiga-The manuscript is available from Trang 10Part 1Classical theory Trang 12Chapter 1Introduction 1.1 Newton’s equations ... x |x|3, γ, M > 0, (1.10) Trang 141.2 Classification of differential equations 5our differential equation reads ¨ r = − γM(R + r)2 (exact model) (1.12)respectively ¨ r = −g (approximate model),

Ngày tải lên: 31/03/2014, 15:56

... Trang 1AN INTRODUCTION TO STOCHASTICDIFFERENTIAL EQUATIONS VERSION 1.2 Lawrence C EvansDepartment of Mathematics UC Berkeley Chapter 1: Introduction ... majors and surveys without too many precise detailsrandom differential equations and some applications Stochastic differential equations is usually, and justly, regarded as a graduate levelsubject ... students’ familiarity with probabilitytheory, measure theory, ordinary differential equations, and perhaps partial differentialequations as well This is all too much to expect of undergrads But white noise,

Ngày tải lên: 08/04/2014, 12:24

... One-Sided Classification:TheProofs 42 3 Two-Sided Classification of Isolated Singular Points 65 3.1 Two-SidedClassification:The Results 65 3.2 Two-SidedClassification:InformalDescription 66 3.3 Two-SidedClassification:The ... qualitative classification. According to this classification, an isolated singular point can have one of 48 possible types. The type of a point is easily computed through the coefficients b and σ. The classification ... One-Sided Classification of Isolated Singular Points 27 2.1 Isolated SingularPoints:The Definition 27 2.2 Isolated SingularPoints:Examples 32 2.3 One-Sided Classification:TheResults 34 2.4 One-SidedClassification:InformalDescription

Ngày tải lên: 08/04/2014, 12:25

... This Chapter: ✔ ✔ ✔ ✔ ✔ ✔ Separable Equations Homogeneous Equations Exact Equations Linear Equations Bernoulli Equations Solved Problems Separable Equations General Solution The solution ... first-order separable differential equation... differential equations does “homogeneous” have the meaning defined above Separable Equations Consider a differential equation in differential ... the differential equation is separable, or has its variables separated Separable equations are solved in Chapter Two Exact Equations A differential equation in differential. .. differential

Ngày tải lên: 09/04/2014, 17:19