taylor polynomial solutions of systems of linear differential equations with variable coefficients
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 ... ConclusionsThis paper studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundaryconditions ... properly cited.We prove the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions...
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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
... 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 ... 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, ... 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,...
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Báo cáo hóa học: " New criteria for stability of neutral differential equations with variable delays by fixed points method" docx
... neutral nonlinear differential equations with delay.Nonlinear Anal. 74(12):3926–3933 (2011). doi:10.1016/j.na.2011.02.02917. Raffoul, YN: Stability in neutral nonlinear differential equations with ... neutral differential equations with variable delays. Proc Am Math Soc. 136,909–918 (2008)19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable ... neutral differential equation, variable delays1 IntroductionThe objective of this article is to investigate the stability of the zero solution of thefirst-order linear neutral differential equations...
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Enclosing solutions of systems of equations
... significant figure is reduced for the visualization. Enclosing solutions of systems of equations involving ODEAurelien LejeuneNational Institute of Informatics2-1-2 Hitotsubashi, Chyoda-kuTokyo 101-8430 ... part.Mots-clefs : syst`emes hybrides, equations differentielles ordinaires, anal-yse par intervalles. References1. Hansen, E. and Sengupta, S.: Bounding solutions of systems of equations usinginterval ... HybridConstraint Systems. 3rd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS09) (to appear)10. Kăuhn, W.: Rigorously Computed Orbits of Dynamical Systems Without the Wrap-ping...
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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 ... 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 ... expression order of L,instead of the degree of L.The ring of differential operators shares many properties with the ordinary polynomial ring in one variable over k.Lemma 2.1 For L1,L2∈Dwith L1=0,...
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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 ... 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 ... integro -differential equations with deviating arguments. J Comput Appl Math 2009, 225:602-611.45. Wang G: Boundary value problems for systems of nonlinear integro -differential equations with deviatingarguments....
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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:" Extremal solutions for certain type of fractional differential equations with maxima" pptx
... solving of differential equations with maxima. Comput. Math. Appl. 60(10), (2010) 2771–2778.11. Mishev, DP, Musa, SM: Distribution of the zeros of the solutions of hyperbolic differential equations with ... appear in the study of systems with au-tomatic regulation and automatic control of various technical systems. It often occurs thatthe law of regulation depends on maximum values of some regulated ... versions will be made available soon.Extremal solutions for certain type of fractional differential equations with maximaAdvances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7Rabha...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
... thesolvability of nonlinear singular equations subject to different types of boundary conditions.In this section, we utilize Theorem 4.1 to show the existence of solutions for periodicproblems. The rest of ... ArticleLimit Properties of Solutions of SingularSecond-Order Differential Equations Irena Rach˚unkov´a,1Svatoslav Stanek,1Ewa Weinmăuller,2and Michael Zenz21Department of Mathematical ... formulate sufficient conditions for the existence of at leastone solution of problem 5.1a and 5.1b with a>0. In the proof of this theorem, we workalso with auxiliary two-point boundary conditions:u0...
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Báo cáo hóa học: " Research Article On Periodic Solutions of Higher-Order Functional Differential Equations" ppt
... conditions of Theorem 1.6.4. ExamplesFrom the main results of the present paper new and optimal in some sense sufficient condi-tions for the existence of periodic solutions of linear and sublinear ... and only one ω-periodic solution. 10 Boundary Value Problems3. Proof of the main resultsProof of Theorem 1.1. Without loss of generality, it can be assumed that h00. On the otherhand, according ... Differential Equations with Monotone Nonlinearities, Nauka i Tekhnika,Minsk, Russia, 1986.12 I. Kiguradze, Initial and Boundary Value Problems for Systems of Ordinary Differential Equations. ...
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