solutions to systems of simultaneous linear differential equations with constant coefficients
galois theory of linear differential equations - m. van der put, m. singer
... translates into ZL=(ra,b)GL. A proof of Lemma 1.29 finishesthe proof of the theorem. ✷Proof of lemma 1.29.The proof is rather similar to the one of lemma 1.23. The only thing that wehave to verify ... O-submodules N1,N2 of N with N = N1⊕N2and Ni= Fifor i =1, 2.Proof. The proof is similar to the proof of Proposition 3.17. Let S1and S2be the set of eigenvalues of E acting on F1and ... analytic sections of the book. Finally,Appendix D discusses systems of linear partial differential equations and the ex-tent to which the results of this book are known to generalize to this situation.Conspicuously...
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Báo cáo sinh học: " Existence of solutions for perturbed abstract measure functional differential equations" pot
... equations, differential equations, and differential equations with impulses. The study of abstract measure differential equations was initiatedby Sharma [1] in 1970s. From then on, properties of ... existence of solutions are less conservative. An example is given to illustrate the effectiveness of our existence theorem of solutions. 1 IntroductionAbstract measure differential equations are ... theexistence of solutions for perturbed abstract measure functional differential equations. This is a problem of difficulty and challenge. Based on the Leray–Schauder alternative involving the sum of two...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... in the sense of Definition 1. Title Suppressed Due to Excessive Length 9One might be tempted to follow the standard ideas with lower and upper solutions to define a lower solution of (1) as some ... definitions are not adequate to ensure the existence of solutions of (1) between given lower and upper solutions, as we show in the followingexample.Example 1 Consider the problem with delayx(t) ... measurable and for a.a. t ∈ I0the operator τ(t, ·) is continuousin C(I) (equipped with it usual topology of uniform convergence).(H2) − (c) The nonlinear operator Λ : C(I) −→ R is continuous.(H3)...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
... for non -linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804.34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... existence andmultiplicity of solutions (or positive solutions) of three-point BVPs for nonlinear inte-ger-order ordinary differential equations. Toidentifyafew,wereferthereaderto[2-13] and the references ... On some nonlinear ordinary differential equations with advancedarguments. Nonlinear Anal 2003, 53:495-505.40. Yan JR: Oscillation of first-order impulsive differential equations with advanced...
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Báo cáo sinh học: " Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions" docx
... Difference Equations Volume 2010, Article ID 691721, 10 pagesdoi:10.1155/2010/691721Research ArticleExistence of Solutions for Nonlinear FractionalIntegro -Differential Equations with Three-PointNonlocal ... integration of arbitrary order is proved to be animportant tool in the modelling of dynamical systems associated with phenomena suchas fractal and chaos. In fact, this branch of calculus has ... severalresearchers with the sphere of study ranging from the theoretical aspects of existence anduniqueness of solutions to the analytic and numerical methods for finding solutions. For somerecent...
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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
... periodic solutions of nonlinear neutral functional differential equations, ”Nonlinear Analysis: Real World Applications, vol. 9, no. 3, pp. 977–984, 2008.8 K. Wang and S. Lu, “On the existence of ... solutions of linear and quasilinear neutral functional-differential equations, ”Journal of Mathematical Analysis and Applications, vol. 189, no. 2, pp. 378–392, 1995.11 Y. Zhu and S. Lu, “Periodic solutions ... Theory of Functional Differential Equations, Springer, New York, NY, USA, 1977.15 P. Glendinning, Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations, ...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
... olutionyt,t∈ J with property 3.17.Proof. The proof is similar to that of Theorem 3. 2of 6.Theorem 3.5. Assume that H1, H2, 3.1 of H3 and 3.14 and 3.15 of H4 hold. Inaddition, ... olutionyt,t∈ J with property 3.4.Proof. The proof is similar to that of Theorem 3. 1of 6. 14 Boundary Value ProblemsProof. Let T be the cone preserving, completely continuous operator that was ... Differential Equations, vol. 14, World Scientific,Singapore, 1995.6 J. Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,” Journal of Mathematical...
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Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
... suited to parallel hardware devices and seems to provide solutions where no alternative is known.The focus of this book is on the numerical solution of stochastic differential equations (SDEs) with ... finite positive realconstants that can vary from line to line. All these constants are assumed to be independent of the time step size Δ. 21SDEswithJumpsWe set the time set to the interval T ... context of derivative pricing.The book does not claim to be a complete account of the state of theart of the subject. Rather it attempts to provide a systematic framework foran understanding of...
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