1,056 research outputs found
Solvability of boundary value problem for second order impulsive differential equations with one-dimensional p-Laplacian on whole line
This paper is concerned with a class of boundary value problems of the impulsive differential equations with one-dimensional p-Laplacian on whole line with a nonCarathéeodory nonlinearity. Sufficient conditions to guarantee the existence of solutions are established. Some examples are given to illustrate the main results
Multiple Bounded Positive Solutions to Integral Type BVPs for Singular Second Order ODEs on the Whole Line
This paper is concerned with the integral type boundary value problems of the second order differential equations with one-dimensional p-Laplacian on the whole line. By constructing a suitable Banach space and a operator equation, sufficient conditions to guarantee the existence of at least three positive solutions of the BVPs are established. An example is presented to illustrate the main results. The emphasis is put on the one-dimensional p-Laplacian term [ρ(t)Φ(x’(t))]’ involved with the function ρ, which makes the solutions un-concave
Probing the twist-3 multi-gluon correlation functions by pp \to DX
We study the single spin asymmetry (SSA) for the D-meson production
in the collision, , in the framework of the collinear
factorization. Since the charm quark is mainly produced through the
-pair creation from the gluon-fusion process, this is an ideal
process to probe the twist-3 triple-gluon correlation functions in the
polarized nucleon. We derive the corresponding cross section formula for the
contribution of the triple-gluon correlation function to in , applying the method developed for in our
previous study. As in the case of , our result differs from
a previous study in the literature. We will also present a simple estimate of
the triple-gluon correlation functions based on the preliminary data on
by RHIC.Comment: to appear in the proceedings of the 19th International Spin Physics
Symposium (Spin2010), Sept.27 - Oct.2, 2010, Juelich, Germany, 5 pages, 2
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A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. The asymptotic behavior of solutions for the problems is also investigated. We demonstrate the utility of our work by applying the main results to fractional-order logistic models
Solvability of boundary value problems for nonlinear functional difference equations
Sufficient conditions for the existence of solutions of the periodic and anti-periodic boundary value problems for nonlinear functional difference equations are established, respectively
Existence results on positive periodic solutions for impulsive functional differential equations
A class of first order nonlinear functional differential equations with impulses is studied. It is shown that there exist one or two positive T-periodic solutions under certain assumptions, and no positive T-periodic solution under some other assumptions. Applications to some impulsive biological models and an example, which can not be covered by known results, are given to illustrate the main results
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