examples of nonlinear first order differential equations
Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... solutions),unfortunately often identified in the literature on lower and upper solutions. First- order differential equations with state-dependent deviated argu-ments have received a lot of attention in ... compact set of fixedpoints in C(I), which are exactly the solutions of problem (4).Claim 2: Every solution x of (4) satisfies α ≤ x ≤ β on I and, therefore, itis a solution of (1) in [α, β]. First, ... [2–7] which deal with existence results for this kind of prob-lems. For the qualitative study of this type of problems we can cite thesurvey of Hartung et al. [8] and references therein.As main...
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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 ... values of the first derivative at the end points of the interval of integration, t 0andt 1. According to the theory, it holds that u0u10. Therefore, we approximate the values of the...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
... a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5Qi-Ming Zhang (zhqm20082008@sina.com)Xiaofei He (hexiaofei525@sina.com)ISSN ... for a class of even -order differential equations Qi-Ming Zhang∗1and Xiaofei He21College of Science, Hunan University of Technology, Zhuzhou,Hunan 412000, P.R. China2College of Mathematics ... of Lyapunov. Am. J. Math. 73,885–890 (1951)[3] Cheng, SS: Lyapunov inequalities for differential and difference equations. Fasc. Math.23, 25–41 (1991)[4] He, Z: Existence of two solutions of...
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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
... Walter W: 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 ... 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 ... 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:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
... delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008.10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... ArticleNonoscillation of First- Order Dynamic Equations with Several DelaysElena Braverman1and Basáak Karpuz21Department of Mathematics and Statistics, University of Calgary, 2500 University ... uniqueness of solutions to systems of delay dynamic equations on timescales,” http://arxiv.org/abs/1001.0737v3 .6 M. Bohner, “Some oscillation criteria for first order delay dynamic equations, ”...
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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
... 2008.13 B. Ahmad and J. J. Nieto, “Existence of solutions for nonlocal boundary value problems of higher- order nonlinear fractional differential equations, ” Abstract and Applied Analysis, vol. ... 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 ... CorporationAdvances in Difference Equations Volume 2010, Article ID 691721, 10 pagesdoi:10.1155/2010/691721Research ArticleExistence of Solutions for Nonlinear FractionalIntegro -Differential Equations with...
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báo cáo hóa học:" Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales" pot
... someresults of one and two positive solutions to a class of nonlinear first -order periodicboundary value problems of impulsive dynamic equations on time scales are obtained.Two examples are ... for first order periodic boundary value problem. Appl. Math.Comput. 158, 345–351 (2004)[39] Sun, JP, Li, WT: Positive solution for system of nonlinear first -order PBVPs on timescales. Nonlinear ... available soon.Periodic boundary value problems for nonlinear first- order impulsive dynamic equations on time scalesAdvances in Difference Equations 2012, 2012:12 doi:10.1186/1687-1847-2012-12Da-Bin...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc
... Solutions of Singular NonautonomousSecond -Order Differential Equations Irena Rach˚unkov´aandJanTomeˇcekDepartment of Mathematical Analysis and Applications of Mathematics, Faculty of Science,Palack´y ... here we prove the existence of a homoclinic solution for f havinga linear behaviour near −∞. The proof is based on a full description of the set of all solutions of problem 1.1, 1.10 for ... Problems 15Proof. Similar arugmets can be found in 12.ByLemma 2.1, the assertion i holds. Thearguments in Step 1 of the proof of Lemma 4.6 imply ii. The strict monotonicity of unandRemark...
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Báo cáo hoa học: " Research Article Multiple Positive Solutions for Nonlinear First-Order Impulsive Dynamic Equations on Time Scales with Parameter" ppt
... Positive Solutions for Nonlinear First- Order Impulsive Dynamic Equations onTime Scales with ParameterDa-Bin Wang and Wen GuanDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, ... Leggett-Williams fixed point theorem, the existence of three positive solutions to aclass of nonlinear first -order periodic b oundary value problems of impulsive dynamic equations on time scales with parameter ... Journal of Qualitative Theory of Differential Equations, vol. 2005, no. 12, pp. 1–22,2005.21 M. Benchohra, J. Henderson, S. K. Ntouyas, and A. Ouahab, “On first order impulsive dynamicequations...
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Báo cáo hóa học: " Research Article A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential " ppt
... in study of stability of differential equations. By applying the generalized Halanay inequality, the stabilityresults of nonlinear neutral functional differential equations NFDEs and nonlinear ... “Dissipativity of θ-methods for nonlinear Volterra delay-integro-differential equations, ”Journal of Computational and Applied Mathematics, vol. 206, no. 2, pp. 898–907, 2007. Journal of Inequalities ... inequality to discuss the stability of nonlinear neutral functionaldifferential equations NFDEs and a class of nonlinear neutral delay integrodifferential equations NDIDEs.2. Generalized Halanay...
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báo cáo hóa học:" Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems" ppt
... result concerning the global structure of the set of positive solutions of parameterized nonlinear operator equations, which is essentially a consequence of Dancer12, Theorem 2.Suppose that ... P. J. Torres, “Existence of one-signed periodic solutions of some second -order differential equations via a Krasnoselskii fixed point theorem,” Journal of Differential Equations, vol. 190, no. 2, ... existence of one-signsolutions of the nonlinear problemx ft, x,t∈0,T,x0 xT,x0 xT.1.18The proofs of the main results are based on the properties of...
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báo cáo hóa học:" Research Article Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions" potx
... a third -order three-point boundary-value problem,”Electronic Journal of Differential Equations, vol. 2008, no. 99, pp. 1–10, 2008.15 Q. Yao, “Positive solutions of singular third -order three-point ... sign-changing nonlinearityon time scales,” Electronic Journal of Differential Equations, vol. 2007, no. 19, pp. 1–12, 2007.19 J. R. Graef and B. Yang, “Positive solutions of a third order nonlocal ... ArticleMonotone Positive Solution of Nonlinear Third -Order BVP withIntegral Boundary ConditionsJian-Ping Sun and Hai-Bao LiDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou,...
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báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx
... andDelay Higher -Order Differential Equations onTime ScalesLiang-Gen Hu,1Ti-Jun Xiao,2and Jin Liang31Department of Mathematics, University of Science and Technology of China, Hefei 230026, ... existence of positive solutions.The purpose of this paper is to investigate further the singular BVP for delay higher- order dynamic equation 1.1. By the use of the fixed point theorem of cone ... value problems for delay higher -order dynamic equations on time scales. Theorems on the existence of positive solutions are obtainedby utilizing the fixed point theorem of cone expansion and compression...
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