We find the eigenfunctions of a generalized Frankl problem with the use of Bessel functions. We prove that these eigenfunctions form a Riesz basis in the space L (2)(D (+)), where D (+) is the elliptic part of the dom...
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We find the eigenfunctions of a generalized Frankl problem with the use of Bessel functions. We prove that these eigenfunctions form a Riesz basis in the space L (2)(D (+)), where D (+) is the elliptic part of the domain. In addition, we prove the Riesz basis property of a trigonometric function system and the completeness of this system in the space L (2)(0, pi/2).
Let T is an element of N be an integer with T > 1, T := {1,...,T}, (T) over cap : = {0,1,...,T+1}. We consider boundaryvalueproblems of nonlinear second- order difference equations of the form Delta(2)u(t - 1) + ...
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Let T is an element of N be an integer with T > 1, T := {1,...,T}, (T) over cap : = {0,1,...,T+1}. We consider boundaryvalueproblems of nonlinear second- order difference equations of the form Delta(2)u(t - 1) + lambda a(t) f (u)(t)) = 0, t is an element of T, u(0) = u(T + 1) = 0, where a : T -> R+, f is an element of C([0, infinity), [0,infinity)) and, f(s) > 0 for s > 0, and f(0) = f(infinity) = 0, f(0) = lim(s -> 0') f(s)/s, f(infinity) = lim(s ->+infinity)f (s)/s. We investigate the global structure of positive solutions by using the Rabinowitz's global bifurcation theorem. Copyright (C) 2009 Ruyun Ma et al.
In the theory of the heat operator, we study a spectral problem with squared spectral parameter in the boundary condition. We construct the biorthogonal system and state a nonlocal spectral problem for a complete mini...
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In the theory of the heat operator, we study a spectral problem with squared spectral parameter in the boundary condition. We construct the biorthogonal system and state a nonlocal spectral problem for a complete minimal eigenfunction system.
We prove existence, regularity and a Feynman-Kac representation formula of the strong solution to the free boundary problem arising in the financial problem of the pricing of the American Asian option with arithmetic ...
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We prove existence, regularity and a Feynman-Kac representation formula of the strong solution to the free boundary problem arising in the financial problem of the pricing of the American Asian option with arithmetic average. To cite this article: L Monti, A. Pascucci, C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
This paper is devoted to derive some sufficient conditions for the existence and uniqueness of positive solutions to a singular second-order dynamic equation with Dirichlet boundary conditions. Copyright (C) 2009 A. G...
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This paper is devoted to derive some sufficient conditions for the existence and uniqueness of positive solutions to a singular second-order dynamic equation with Dirichlet boundary conditions. Copyright (C) 2009 A. Gomez Gonzalez and V. Otero-Espinar.
We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding Sturm-Liouville boundaryvalue problem...
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We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding Sturm-Liouville boundaryvalueproblems. We define the set of potentials and v-representable densities, give a proof of existence of the effective potentials under certain restrictions and show the set of v-representable densities to be independent of the interaction.
We consider the existence of positive solutions for a class of second-order multi-point boundaryvalue problem with p-Laplacian on time scales. By using the well-known Krasnosel'ski's fixed-point theorem, some...
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We consider the existence of positive solutions for a class of second-order multi-point boundaryvalue problem with p-Laplacian on time scales. By using the well-known Krasnosel'ski's fixed-point theorem, some new existence criteria for positive solutions of the boundaryvalue problem are presented. As an application, an example is given to illustrate the main results. Copyright (C) 2009 Meng Zhang et al.
We study the existence of weak solutions for second-order boundaryvalue problem of impulsive dynamic equations on time scales by employing critical point theory. Copyright (C) 2009 H. Duan and H. Fang.
We study the existence of weak solutions for second-order boundaryvalue problem of impulsive dynamic equations on time scales by employing critical point theory. Copyright (C) 2009 H. Duan and H. Fang.
By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existence of...
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By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existence of C-ld[0, 1](T) as well as C-ld(Delta)[0, 1](T) positive solutions for a class of singular boundaryvalueproblems on time scales. The results significantly extend and improve many known results for both the continuous case and more general time scales. We illustrate our results by one example. Copyright (C) 2009 Meiqiang Feng et al.
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