BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS IN THE CLASS OF CAUCHY-TYPE INTEGRALS WITH DENSITY IN pot
BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS IN THE CLASS OF CAUCHY-TYPE INTEGRALS WITH DENSITY IN pot
... G(t)Φ−(t)+g(t), for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces Lp(·)(Γ) with variable exponent. We consider both the case ... solution of (1.1) in the class of analytic functions represented by the Cauchy-type integral with density in the spaces Lp(·)(Γ) with variable exponent assumingthat g belongs to the same class. ... of γr={z : |z|=r} under conformal mapping of U ={z : |z| < 1}onto D.(WhenD is an in nite domain, then the conformal mapping means the onewhich transforms 0 into in nity.)54 Boundary value...
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BOUNDARY VALUE PROBLEMS FOR THE 2ND-ORDER SEIBERG-WITTEN EQUATIONS CELSO MELCHIADES DORIA Received 8 pdf
... (2.12)Proof (see [3, Lemma 2.3]). The gauge transform is the Coulomb one given in the Lemma2.1. Considering the gauge invariance of the ᐃα-theory, and the fact that the gauge groupᏳαis an in nite-dimensional ... studied in [3] and the topological ones in [1]. Thus, the main aim here is to obtain the existence of a solution to t he nonhomogeneous equations whenever ∂X=∅ .The nonemptiness of the boundary in icts ... variational principle of the Ginzburg-Landau equation in superconductivity, furthermotivates the present study.1.1. Spincstructure. The space of Spincstructures on X is identified with Spinc(X)...
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Báo cáo sinh học: " Research Article Boundary Value Problems for Delay Differential Systems" ppt
... ,∞ ,in 4.18 can be determined. The proceduredescribing the method of their deriving is a crucial part of the proof of Theorem 4.1 where wegive their form as well.Proof. Substitute 4.18 into ... the existence of solutions in a relevant space and, moreover,to the construction of a family of linearly independent solutions of such problems in a general case with the number of boundary conditions ... by a linear vector functional not coinciding with the number of unknowns of a differential system with a single delay. As an example of application of the results derived, the problem of bifurcation...
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báo cáo hóa học:" Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales" pot
... below). For information about publishing your research in Advances in Difference Equations go tohttp://www.advancesindifferenceequations.com/authors/instructions/ For information about other SpringerOpen ... 16e3−4e2(1−e) < 0.Therefore, together with Theorem 3.3, it follows that the problem (4.2) has at least twopositive solutions.Competing interests The authors have no competing interests to declare.Acknowledgment The ... time scales with semi-positioncondition. In this article, we are concerned with the existence of positive solutions for the followingPBVPs of impulsive dynamic equations on time scales with semi-position...
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báo cáo hóa học:" Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales" doc
... are interesting aspects of the positive solutions for two kinds of m-point boundary value problems for an increasing homeomorphism and positive homo-morphism on time scales. By using the Avery–Peterson ... Avery–Peterson fixed point theorem, we obtain the existence of at least three positive solutions for these problems. The interesting pointis that the nonlinear term depends on the first-order delta-derivative ... development of boundary value problems for differential equations [1–5], dif-ference equations [6, 7], and the theory of time scales [8–12], the existence of solutions for boundary value problems...
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báo cáo hóa học:" Research Article Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear " doc
... recently, by using Shauder fixed point theorem, Guo 15 obtained the existence of positive solutions for a class of nth-order nonlinear impulsive singular integro-differentialequations in a Banach ... H1 and the absolute continuity of Lebesgue integral that {A1V t}is equicontinuous on any finite subinterval of J. In the following, we are in position to show that for any >0, there ... ∞,x∞limt →∞xt. On the other hand, the multipoint boundary value problems arising naturally from applied mathematics and physics have been16 Boundary Value Problems unt11 −m−2i1αi×m−2i1αiξix∞m−2i1αiξi0∞sfτ,un−1τ,un−1τ,vn−1τ,vn−1τdτ...
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Báo cáo hoa học: " Research Article Impulsive Periodic Boundary Value Problems for Dynamic Equations on Time Scale" pptx
... 2.9Advances in Difference Equations 3 In Section 2 we present some preliminary ideas that will be used in the remainder of the paper. In Section 3 we give sufficient conditions for the existence of at ... By the Contraction Mapping Principal, there exists a uniquesolution of 3.1 and the proof is complete.2 Advances in Difference Equations In 12, the authors gave sufficient conditions for the ... is the space of all real-valued continuous functions on Ji,andC1Ji is the space of all continuously delta-differentiable functions on Ji.ThesetPC is a Banach spacewhen it is endowed with...
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Báo cáo hoa học: " Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales" ppt
... Introduction With the development of boundary value problems for differential equations [1–5], dif-ference equations [6, 7], and the theory of time scales [8–12], the existence of solutions for boundary value ... are interesting aspects of the positive solutions for two kinds of m-point boundary value problems for an increasing homeomorphism and positive homo-morphism on time scales. By using the Avery–Peterson ... Avery–Peterson fixed point theorem, we obtain the existence of at least three positive solutions for these problems. The interesting pointis that the nonlinear term depends on the first-order delta-derivative...
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Báo cáo hóa học: "Research Article Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems" pptx
... 3.14 The Leray-Schauder principle guarantees a fixed point of K, which is easily seen to be asolution of E3.2.By using a similar method to Theorem 3.2, one can deduce the following result.Theorem ... a solution. For the uniqueness, if u·,v· are two solutions of E2.2,setwtut − vt, then wtAwt,andwt−wt T,fort ∈ R. Following the obvious Boundary Value Problems 7Note ... fsds3.12 Boundary Value Problems 1117 D. Franco, J. J. Nieto, and D. O’Regan, “Existence of solutions for first order ordinary differentialequations with nonlinear boundary conditions,” Applied Mathematics...
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Báo cáo hóa học: " Research Article Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations" potx
... Domoshnitsky, “Maximum principles and boundary value problems, mathematical models in engineering, biology and medicine,” in Proceedings of the International Conference on Boundary Value Problems, A. Cabada, ... estimates of the spectral radii of the operators in the spaces of discontinuous functions, for example, in the spaces of summable or essentially bounded functions. Operator 1.5, which is a linear ... implies the positivity of the Green’s function Gt, s of problem 1.1, 1.2. In order to get the inequality ρΩ < 1, the classical theorems about estimates of the spectral radius of the operator...
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