application of differential equation first order
báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt
... known,they found applications in the theory of first- order partial differential equations,including questions such as estimates of solutions of initial problems, estimates of domains of solutions, ... infinite systems of differential functional equations and strongly coupled infinitesystems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980)Kamont Journal of Inequalities ... of Inequalities and Applications 2011, 2011:15http://www.journalofinequalitiesandapplications.com/content/2011/1/15Page 3 of 20 functions of one variable, which are solutions of ordinary differential...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... Difference Equations 2011, 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first- order nonlinearintegro -differential ... the existence of solutions for first- order nonlinear integro -differential equations with boundary value conditions.Our methods to prove the existence of solutions involve new differential inequalitiesand ... for first order impulsive integro -differential equations of mixed type.J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.0478. Jankowski, T, Jankowski, R: On integro -differential equations...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... “Existence of solutions for a class of third -order nonlinear boundary valueproblems,” Journal of Mathematical Analysis and Applications, vol. 294, no. 1, pp. 104–112, 2004.14 D. Guo, Semi-Ordered ... solutions of nonlinear singular third -order two-point boundary value problem,”Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006.12 Y. Sun, “Positive solutions of ... Gregus, “Third order linear Differential equations,” in Mathematics and Its Applications, Reidel,Dordrecht, the Netherlands, 1987.2 L J. Guo, J P. Sun, and Y H. Zhao, “Existence of positive solutions...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
... 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, ... ArticlePositive Solutions of nth -Order NonlinearImpulsive Differential Equation with NonlocalBoundary ConditionsMeiqiang Feng,1Xuemei Zhang,2and Xiaozhong Yang21School of Science, Beijing ... Journal of Computational and Applied Mathematics, vol. 223, no.1, pp. 438–448, 2009.15 J. R. Cannon, “The solution of the heat equation subject to the specification of energy,” Quarterly of Applied...
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A Hierarchical Classification of First-OrderRecurrent Neural Networks a10
... β>α.We now come up to the equivalence of the expressive power of recurrentneural networks and Muller automaton. First of all, we prove that any first- order recurrent neural network can be simulated ... specification of itsattr actors. Then there exists a Muller automaton ANsuch that L(N )=L(AN). A Hierarchical Classification of First- Order Recurrent Neural Networks 143class of rational-weighted ... obtained hierarchical classification of neural net-works consists of a decidable pre-well ordering of width 2 and height ωω,andadecidability procedure of this hierarchy is provided. Notably,...
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A Hierarchical Classification of First-OrderRecurrent Neural Networks cs12
... Wadge hierarchies of the class of all Σ11-sets.1The Wadge hierarchy of a given class of ω-languages corresponds to the collection of all ω-languages of this class ordered by the Wadge reduction ... 2−k)0ωproduces an output of the form 0∗r((pb−1(k), qb−1(k)))0ω.Proof. A straightforward generalization of the proof of Lemma 2. The next result now shows that any Σ11-set of {0, 1}ωcan ... complexity of ω-languages [32]. Indeed, the Wadge hierarchy provides an extensive refinement of the Borelhierarchy, and hence permits a closer analysis of the topological complexity of classes of ω-languages....
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a hierarchical classification of first-order
... extended in several directions. First of all, it could be of interest to study the same kind of hierarchical classification A Hierarchical Classification of First- Order Recurrent Neural Networks ... Hierarchical Classification of First- Order Recurrent Neural Networks 151hierarchy is actually a well-ordering. In fact, the RNN hierarchy consists of analternating succession of non-self-dual and ... the issue of the expressivepower of neural networks is approached from the point of view of the theory of automata on infinite words, and it is proved that first -order recurrent neural1More precisely,...
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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, ... solutions for problem (1) with Λ = 0, and this does notdepend on the choice of τ.Proof. Reasoning in the same way as in the proof of Proposition 1, weobtain that there exists m ≥ 0 such that α(t) ≤...
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báo cáo hóa học: " Existence and multiplicity of positive solutions for a nonlocal differential equation" docx
... 2011:5http://www.boundaryvalueproblems.com/content/2011/1/5Page 7 of 11 Then, Equation 12 holds.Therefore, by Equations 10 and 12 and the first part of Lemma 2.3, T has a fixedpoint inP ∩(¯2\1), which is a positive solution of Equation ... in a sense to be establishedwhen necessary. Nonlocal BVPs of ordinary differential equations or system arise in a vari-ety of areas of applied mathematics and physics. In recent years, more ... yantaicity@163.com1College of Aeronautics andAstronautics, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, People’s Republic of ChinaFull list of author information isavailable at the end of the...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
... Difference Equations 136. ConclusionsIn this paper, by using the fixed point theorem of cone, we have investigated the existence of positive solutions for a class of nonlinear fractional differential equations ... Methods & Applications, vol. 69, no. 8, pp. 2677–2682, 2008.8 V. Daftardar-Gejji, “Positive solutions of a system of non-autonomous fractional differentialequations,” Journal of Mathematical ... boundary value problem of nonlinear fractional differential equation, ” Journal of Mathematical Analysis and Applications, vol. 311, no. 2, pp. 495–505, 2005. Advances in Difference Equations 11So R...
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Báo cáo hóa học: " Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation" potx
... and Y. Luchko, “Invariance of a partial differential equation of fractional order under theLie group of scaling transformations,” Journal of Mathematical Analysis and Applications, vol. 227, no. ... notions of the fractional calculus andthe theory of the operators for integration and differentiation of fractional order. Section 3 isdevoted to the study of the existence and uniqueness of positive ... and Applications, vol. 311, no. 2, pp. 495–505,2005.9 T. Qiu and Z. Bai, “Existence of positive solutions for singular fractional differential equations,”Electronic Journal of Differential Equations,...
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báo cáo hóa học:" Research Article Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation" doc
... estimate the rate of convergence of the sequence of projections. For this purpose, consider the dense subset {ti}i≥1 of distinct points in 0, 1 andlet Tnbe the set {t1, ,tn} ordered in an ... in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach,a sequence of functions which approximate the solution of ... and ApplicationsVolume 2010, Article ID 470149, 9 pagesdoi:10.1155/2010/470149Research ArticleBiorthogonal Systems Approximatingthe Solution of the Nonlinear VolterraIntegro -Differential Equation M....
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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 Equationswith Several DelaysElena Braverman1and Basáak Karpuz21Department of Mathematics and Statistics, University of Calgary, 2500 University ... Mountain Journal of Mathematics, vol. 38, no. 1, pp. 118, 2008.11 Y. Sáahiner and I. P. Stavroulakis, Oscillations of first order delay dynamic equations,” DynamicSystems and Applications, vol....
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báo cáo hóa học:" Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type" docx
... ArticleOn a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff TypeGiovanni AnelloDepartment of Mathematics, University of Messina, S. Agata, 98166 Messina, ItalyCorrespondence ... quasilinear elliptic equation of Kirchhoff type,” Computers & Mathematics with Applications, vol. 49, no. 1, pp. 85–93, 2005.4 A. Bensedik and M. Bouchekif, “On an elliptic equation of Kirchhoff-type ... 2.39that is absurd. The proof is now complete.Remarks 2.6. To satisfy assumption 2.30 of Theorem 2.5, it is clearly useful to know somelower estimation of ar. First of all, we observe that...
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Báo cáo sinh học: " Research Article New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions" pdf
... Mboumi, “Positive solutions of a boundary value problem for a nonlinearfractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations, vol.2008, no. 3, ... boundary-value problems of nonlinear fractional differentialequations,” Electronic Journal of Differential Equations, vol. 2006, pp. 1–12, 2006.21 S. Zhang, “The existence of a positive solution ... fractional differential equation, ” Journal of Mathematical Analysis and Applications, vol. 252, no. 2, pp. 804–812, 2000.22 S. Zhang, “Existence of positive solution for some class of nonlinear fractional...
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