Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives by Fei Yang, Yuanjian Lin, Juan Zhang, Quanfu Lou

“…In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. Finally, an example which to illustrate the main conclusions of this paper is given.…”
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Local asymptotic normality of statistical models of discrete martingales by Vaidotas Kanišauskas

“…The general conditions include the Fréchet differentiability of parameters in probability in normed spaces with regard to a continuous compensator. …”
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Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System by Xiaohuan Wang

“…By constructing two sequences of solutions of the two-component Camassa-Holm system, we prove that the solution map of the Cauchy problem of the two-component Camassa-Holm system is not uniformly continuous in Hs (𝕊), s>5/2.…”
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On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces by Abdelfatah Bouziani

“…The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. …”
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Proportion of Chromosomal Disorders and Their Patterns among Births with Congenital Anomalies in Africa: A Systematic Review and Meta-Analyses by Teshome Gebremeskel Aragie, Girma Seyoum Gedion

“…The pooled proportion of chromosome disorders was the highest in North African regions and countries compared to other regions of the continent. Healthcare managers should focus on establishing proper cytogenetic diagnostic facilities in collaboration with well-trained genetic counseling services in the continent.…”
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On symmetric equilibrium of an isothermal gas with a free boundary and a body force

“…Examples of finite, countable, or continual sets of solutions are constructed including equipotential ones. …”
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Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales by Shengbin Yu, Haihui Wu, Jiangbin Chen

“…With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the existence of multiple positive periodic solutions of delayed predator-prey systems with type IV functional responses on time scales. …”
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The Bessel-Struve intertwining operator on ℂ and mean-periodic functions by A. Gasmi, M. Sifi

“…Next we define and characterize the mean-periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute with Bessel-Struve operator.…”
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Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays by Shiping Lu, Ming Lu

“…By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.…”
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Collocation for High-Order Differential Equations with Lidstone Boundary Conditions by Francesco Costabile, Anna Napoli

“…It is a collocation method which provides globally continuous differentiable solutions. Computation of the integrals which appear in the coefficients is generated by a recurrence formula. …”
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Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation by Robert Reynolds, Allan Stauffer

“…We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz-Lerch zeta functions. …”
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Local existence for a general model of size-dependent population dynamics by Nobuyuki Kato, Hiroyuki Torikata

“…We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well.…”
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Calculation Method for Electromagnetic Parameters of Single Rod Grounding Elect- rode at Flowing of Alternating Current of Mains Frequency by D. A. Gerasimovich, A. A. Dziaruhina

“…The paper proposes a calculation method for electromagnetic parameters of single continuously long rod grounding electrode of tubular section at flowing of alternating current of mains frequency into the ground. …”
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Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ by Aibèche, Aissa, Amrouche, Cherif, Bahouli, Bassem

“…After this, we characterize the range of trace operator in the Sobolev spaces $ W^{3,p}(\Omega )$ when $\Omega $ is a connected bounded domain $\mathbb{R}^2$ with Lipschitz-continuous boundary.…”
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Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model by Tiejun Zhou, Xiaolan Zhang, Min Wang

“…A delayed ratio-dependent predator-prey discrete-time model with nonmonotone functional response is investigated in this paper. By using the continuation theorem of Mawhins coincidence degree theory, some new sufficient conditions are obtained for the existence of multiple positive periodic solutions of the discrete model. …”
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And again about research and educational texts by A. S. Robotova

“…This paper continues the author’s cycle devoted to the quality of research and pedagogicaltexts. …”
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Publishing, bookselling and the World Wide Web by Paul Kipling, T.D. Wilson

“…Part of a continuing series into the business use of the World Wide Web. …”
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Genotoxic consequences of viral infections by Olga Szewczyk-Roszczenko, Piotr Roszczenko, Yegor Vassetzky, Nikolajs Sjakste

“…Abstract Viral diseases continually threaten human health as evolving pathogens introduce new risks. …”
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Common fixed points for family of mappings by D. E. Anderson, K. L. Singh, J. H. M. Whitfield

“…The main aim of the present paper is to prove the existence of common fixed points for mappings which are not necessarily continuous. Our results, which are primarly motivated by investigation of Husain and Sehgal (Bull. …”
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Solving a North-type energy balance model using boundary integral methods by A. Samuelsberg, P. K. Jakobsen

“…We demonstrate that the introduction of a continent results in new equilibrium states characterized by multiple ice edges and ice belts. …”
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