Weighted empirical FCLT for weakly dependent processes by Mindaugas Juodis

“… This paper provides a weak convergence theorem for weighted empirical processes of a stationary sequence under a new weak dependence condition introduced by P. …”
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Support functionals and their relation to the Radon-Nikodym property by I. Sadeqi

“…In this paper, we examine the Radon-Nikodym property and its relation to the Bishop-Phelps theorem for complex Banach spaces. We also show that the Radon-Nikodym property implies the Bishop-Phelps property in the complex case.…”
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An oscillation criterion for inhomogeneous Stieltjes integro-differential equations by M. A. El-Sayed

“…The aim of the paper is to give an oscillation theorem for inhomogeneous Stieltjes integro-differential equation of the form p(t)x′+∫atx(s)dσ=f(t). …”
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Convexity of Solutions for an Iterative Equation in Banach Spaces by Xiaobing Gong

“…By applying Schauder's fixed point theorem we investigate the existence of increasing (decreasing) solutions of the iterative equation and further give conditions under which those solutions are convex or concave. …”
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Characterization of Hankel transformable generalized functions by J. J. Betancor

“…In this paper we prove a characterization theorem for the elements of the space H′μ of generalized functions defined by A. …”
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Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems by Long Yuhua

“…Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not satisfy the global Ambrosetti-Rabinowitz condition.…”
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The uniform boundedness principle for order bounded operators by Charles Swartz

“…This result is used to establish a Banach-Steinhaus Theorem for order bounded operators.…”
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Existence of C1-Positive Solutions for a Class of Second-Order Impulsive Differential Equations by Hong Li

“…In this study, under some inequality conditions, necessary and sufficient conditions, using fixed-point theorem in cones, are established for the existence of C1-positive solutions for a class of second-order impulsive differential equations. …”
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Results for Twin Singular Nonlinear Problems with Damping Term by Youwei Zhang

“…By using the functional type cone expansion and compression fixed-point theorem in cones, some new and general results on the existence of positive solution for twin singular boundary value problems with damping term are obtained. …”
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Exponential Dichotomy of the Two-Dimensional Linear Differential System by Ni Hua, Wang Jing, Bai Min

“…A sufficient condition for the exponential dichotomy of the linear system is given by the fixed point theorem and variable substitution, and some new results are obtained.…”
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On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition by Yashar T. Mehraliyev

“…At first the initial problem is reduced to the equivalent problem for which the existence and uniqueness theorem of the solution is proved. Further, using these facts, the existence and uniqueness of the classic solution of the initial problem are proved.…”
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On constrained uniform approximation by M. A. Bokhari

“…Kirchberger (1903) and a generalization of Weierstrass approximation theorem.…”
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A Bordism Viewpoint of Fiberwise Intersections by Gun Sunyeekhan

“…Moreover, we prove the converse of fiberwise Lefschetz fixed point theorem.…”
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On the Ricci tensor of real hypersurfaces of quaternionic projective space by Juan De Dios Perez

“…We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].…”
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Algebras with actions and automata by W. Kühnel, M. Pfender, J. Meseguer, I. Sols

“…Finally we discuss consequences of theorem 3.3 for the structure theory of various types of automata. …”
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Locally conformal symplectic manifolds by Izu Vaisman

“…The paper ends with an Appendix which states an analogous fibration theorem in Riemannian geometry.…”
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Large N limit of the Yang–Mills measure on compact surfaces II: Makeenko–Migdal equations and the planar master field by Antoine Dahlqvist, Thibaut Lemoine

“…This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang–Mills measure on all orientable compact surfaces of genus larger or equal to $1$ , with a structure group given by a classical compact matrix Lie group. Our main theorem shows the convergence of all Wilson loops in probability, given that it holds true on a restricted class of loops, obtained as a modification of geodesic paths. …”
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On Fekete-Szegö Problems for Certain Subclasses Defined by q-Derivative by Huda Aldweby, Maslina Darus

“…We derive the Fekete-Szegö theorem for new subclasses of analytic functions which are q-analogue of well-known classes introduced before.…”
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On Oscillations of Solutions of Third-Order Dynamic Equation by Gro Hovhannisyan

“…We are proving the new oscillation theorems for the solutions of third-order linear nonautonomous differential equation with complex coefficients. …”
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Induction and restriction as adjoint functors on representations of locally compact groups by Robert A. Bekes, Peter J. Hilton

“…In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.…”
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