Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases by Guy Degla

“…We prove the existence of a curve (with respect to the scalar delay) of periodic positive solutions for a smooth model of Cooke-Kaplan’s integral equation by using the implicit function theorem under suitable conditions. We also show a situation in which any bounded solution with a sufficiently small delay is isolated, clearing an asymptotic stability result of Cooke and Kaplan.…”
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Square variation of Brownian paths in Banach spaces by Mou-Hsiung Chang

“…We generalize this celebrated theorem of Levy to Brownian motion in real separable Banach spaces.…”
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Applications of α,β-Symmetrical Functions on a Certain Class of Spirallike Functions by Aljazi Alkhammash, Fuad Alsarari

“…In particular, we obtain a structural formula, a representation theorem, Marx-Strohacker inequality. Our results continue to hold the covering and distortion properties.…”
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The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations by Huafeng Xiao, Bo Zheng

“…We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions.…”
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Positive Solutions for Systems of Nonlinear Higher Order Differential Equations with Integral Boundary Conditions by Yaohong Li, Xiaoyan Zhang

“…By constructing some general type conditions and using fixed point theorem of cone, this paper investigates the existence of at least one and at least two positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions. …”
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On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal by Wei Chen

“…After giving some properties of such semigroups, we obtain a structure theorem for naturally ordered concordant semigroups with an adequate monoid transversal.…”
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Positive Solutions to a Second-Order Discrete Boundary Value Problem by Xiaojie Lin, Wenbin Liu

“…We are concerned with second-order discrete boundary value problems and obtain some sufficient conditions for the existence of at least one positive solution by using the fixed point theorem due to Krasnosel'skii on a cone.…”
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Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative by Wenxiong Chen, Shibo Liu

“…We prove that there exists T0>0 such that, for any T<T0, the provided Hamiltonian system has a nontrivial T-periodic and T/2-antiperiodic solution via linking theorem and iteration method.…”
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Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory by Dongdong Gao, Jianli Li

“…An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.…”
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Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations by Junwei Liu, Chuanyi Zhang

“…Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. …”
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New Periodic Solutions for the Singular Hamiltonian System by Yi Liao

“…By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. …”
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Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type by Zhinan Xia

“…The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof. …”
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Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation by Taiyong Chen, Wenbin Liu

“…Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our results is given.…”
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Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings by Haizhen Sun, Zhiqun Xue

“…Our aim in this paper is to illustrate that the proof of main theorem of Rhoades and Şoltuz (2003) concerning the equivalence between the convergences of Ishikawa and Mann iterations for uniformly L-Lipschitzian asymptotically pseudocontractive maps is incorrect and to provide its correct version.…”
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An Implicit Algorithm for the Split Fixed Point and Convex Feasibility Problems by Fengjun Guo, Shin Min Kang, Young Chel Kwun

“…We consider an implicit algorithm for the split fixed point and convex feasibility problems. Strong convergence theorem is obtained.…”
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L-correspondences: the inclusion Lp(μ,X)⊂Lq(ν,Y) by C. Bryan Dawson

“…After proving some basic theorems, we give characterizations of some types of L-correspondences and offer a conjecture that is similar to an equimeasurability theorem.…”
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Three Homoclinic Solutions for Second-Order -Laplacian Differential System by Jia Guo, Bin-Xiang Dai

“…By using three critical points theorem, we establish the new criterion to guarantee that this -Laplacian differential system has at least three homoclinic solutions. …”
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Toy quantum mechanics using hidden variables by Pavel V. Kurakin, George G. Malinetskii

“…An original model of toy quantum mechanics that uses hidden variables but does not violate the well-known Bell theorem is proposed.…”
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Research on the knowledge security by Shi-jie YAN, Le-quan MIN, Xiu-bin FAN

“…Based on previous researches,the formal definitions of data,huge data,information and knowledge is given,seven attribute for knowledge security are proposed:confidentiality,integrity,availability,controllability,verifiability,inheritability,and anti-whiteness and related prevention technology,the relation between huge data and the center limit theorem is discussed,the concept of secure knowledge system is introduced.…”
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Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces by Mostafa Ghadampour

“…We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of relatively nonexpansive mapping and a finite family of resolvent operator and the set of solutions of an equilibrium problem.…”
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