linear differential equations theory of solutions
galois theory of linear differential equations - m. van der put, m. singer
... situation.Conspicuously missing from this book are discussions of the arithmetic theory of linear differential equations as well as the Galois theory of nonlinear differential equations. A few references are [161, 196, ... 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 ... containing a fundamental set of solutions of L(y) = 0, whose field of constants is the same as that of k suchthat no proper subfield contains a fundamental set of solutions of L(y)=0. ✷1.4 The Differential...
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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 ... 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 ... existence of solutions for perturbed abstract measure functional differential equations. Based on the Arzel`a–Ascoli theorem and the fixed point theorem, we give sufficient conditions for existence of solutions...
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Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
... 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:10.1186/1687-1847-2012-6Oi ... ∈ (0, 1);2. a sequence of complex numbers zn, |zn| < r; Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming1,3, ... 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...
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Báo cáo hóa học: " Polynomial solutions of differential equations" ppt
... polynomial solutions of a class of linear differential equations of the second order. Bull A M S. 36,77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0Azad et al. Advances in Difference Equations ... Advances in Difference Equations 2011, 2011:58http://www.advancesindifferenceequations.com/content/2011/1/58Page 3 of 12 RESEARCH Open AccessPolynomial solutions of differential equations H Azad*, ... Correspondence:hassanaz@kfupm.edu.saDepartment of Mathematics &Statistics, King Fahd University of Petroleum & Minerals, Dhahran,Saudi ArabiaAbstractA new approach for investigating polynomial solutions of differential equations...
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Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
... Oscillation of solutions to odd-order nonlinear neutral functional differential equations. Electron JDiff Equ. 23,1–12 (2011)15. Rath, RN, Padhy, LN, Misra, N: Oscillation of solutions of non -linear ... tends to zero as t đ .Proof. The proof of the corollary is similar to the proof of Corollary 3.3 and so it isomitted.From the above results on the oscillation of odd-order differential equation ... delay differential equations of higher orderfor p(t) = ± 1. Arch Math. 40, 359–366 (2004)16. Tang, S, Li, T, Thandapani, E: Oscillation of higher-order half -linear neutral differential equations. ...
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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
... problem 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 ... problems of fractionalorder. Nonlinear Anal Hybrid Syst 2010, 4:134-141.31. Mophou GM: Existence and uniqueness of mild solutions to impulsive fractional differential equations. NonlinearAnal ... positive solutions) of three-point BVPs for nonlinear inte-ger-order ordinary differential equations. Toidentifyafew,wereferthereaderto[2-13] and the references therein.Fractional differential equations...
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Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
... 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 ms, Leray-Schauder theory, ... coupled system of nonlinear fractional differential equations. Appl Math Lett2009,22:64-69.26. Gejji VD: Positive solutions of a system of nonlinear fractional differential equations. J Math ... uniqueness of solutions for coupled systems of higher-order nonlinearfractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17.30. Babakhani A: Positive solutions for system of nonlinear...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... second-order linear difference equation; itssolution takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear difference ... treat asymptotic solutions of second-order linear differential equations, the method used in Wong and Li’s papers cannot give us wayto obtain error bounds of these asymptotic solutions. Only order ... open. The purpose of this and the next paper Errorbounds for asymptotic solutions of second-order linear difference equations II: the secondcase is to estimate error bounds for solutions to 1.2....
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báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
... to the study of stability and estimates of solutions of 1.1.2. Exponential Stability and Estimates of the Convergence of Solutions to Stable SystemsFirst we give two definitions of stability ... Problems of Theory of Stability of Motion, Fizmatgiz, Moscow, Russia, 1959.3 N. N. Krasovski˘ı, Stability of Motion. Applications of Lyapunov’s Second Method to Differential systems and Equations ... Estimation of Solutions of Linear Differential Systems of Neutral Type withConstant CoefficientsJ. Baˇstinec,1J. Dibl´ık,1, 2D. Ya. Khusainov,3and A. Ryvolov´a11Department of Mathematics,...
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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
... of mild solutions to impulsive fractional differential equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol. 72, no. 3-4, pp. 1604–1615, 2010.11 B. Ahmad, “Existence of solutions ... CorporationAdvances in Difference Equations Volume 2010, Article ID 691721, 10 pagesdoi:10.1155/2010/691721Research ArticleExistence of Solutions for Nonlinear FractionalIntegro -Differential Equations with ... ψyds 10 Advances in Difference Equations 3 A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, vol. 204 of North-Holland Mathematics...
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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 ... first eigenvalue of the p-Laplacian,” Nonlinear Analysis: Theory, Methods & Applications, vol. 29, no. 1, pp. 41–51, 1997.14 J. K. Hale, Theory of Functional Differential Equations, Springer,...
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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
... introduction of the basic theory of impulsivedifferential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations, ... al. 2.The theory of impulsive differential equations has become an important area of investigation inrecent years and is much richer than the corresponding theory of differential equations see,e.g., ... Differential Equations, vol. 14, World Scientific,Singapore, 1995.6 J. Yan, “Existence of positive periodic solutions of impulsive functional differential equations withtwo parameters,” Journal of Mathematical...
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