Fixed Point Results Satisfying Rational Type Contraction in G-Metric Spaces by Branislav Z. Popović, Muhammad Shoaib, Muhammad Sarwar

“…In addition, a unique fixed point result for six continuous self-mappings through rational type expression is also discussed.…”
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Existence and Compactness Results for a System of Fractional Differential Equations by Cheikh Guendouz, Jamal Eddine Lazreg, Juan J. Nieto, Abdelghani Ouahab

“…The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. …”
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On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) by Victoriia Kravtsiv, Taras Vasylyshyn, Andriy Zagorodnyuk

“…We consider polynomials on spaces lpCn,1≤p<+∞, of p-summing sequences of n-dimensional complex vectors, which are symmetric with respect to permutations of elements of the sequences, and describe algebraic bases of algebras of continuous symmetric polynomials on lpCn.…”
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Mathematical model of thermal operation of eontinuous furnace of mill 2250 of Alchevsk metallurgical industrial complex in coupled production by P. E. Ratnikov, E. O. Tskitishvili

“…Using the developed mathematical model of coupled (external and internal) head exchange, allowing for the form and thermoprocessing peculiarities of the continuous pusher- type furnace, there are improved the temperature-thermal conditions of slabs heating in furnace of mill 2250 of Alchevsk metallurgical industrial complex.…”
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Gelfand theorem implies Stone representation theorem of Boolean rings by Parfeny P. Saworotnow

“…Stone Theorem about representing a Boolean algebra in terms of open-closed subsets of a topological space is a consequence of the Gelfand Theorem about representing a B∗- algebra as the algebra of continuous functions on a compact Hausdorff space.…”
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Some results on biorthogonal polynomials by Richard W. Ruedemann

“…Some biorthogonal polynomials of Hahn and Pastro are derived using a polynomial modification of the Lebesgue measure dθ combined with analytic continuation. A result is given for changing the measures of biorthogonal polynomials on the unit circle by the multiplication of their measures by certain Laurent polynomials.…”
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FEATURES OF RESTORATION OF DISPERSE POROUS MATERIALS by S. L. Rovin, L. E. Rovin, T. M. Zayats

“…Has been received new data on the of heat and mass transfer processes and carry out intensive and continuous process of solid- liquid-phase reduction of oxides in a single unit.…”
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Spatial decay estimates for a class of nonlinear damped hyperbolic equations by F. Tahamtani, K. Mosaleheh, K. Seddighi

“…In addition, we compare the solutions of two-dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.…”
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Prostate Cancer by Scott Eggener

“…Prostate cancer continues to be a significant public health issue worldwide, particularly in countries where men have life expectancies long enough to clinically manifest the disease. …”
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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. An example is given to illustrate the theory.…”
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A Note on Wave Equation and Convolutions by Adem Kiliçman, Hassan Eltayeb

“…The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results.…”
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Fixed Point Theorems and Uniqueness of the Periodic Solution for the Hematopoiesis Models by Jun Wu, Yicheng Liu

“…Our methods are based on the equivalent norm techniques and a new fixed point theorem in the continuous function space.…”
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Spatial numerical ranges of elements of subalgebras of C0(X) by Sin-Ei Takahasi

“…When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.…”
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Adjoining a Constant Function to n-Dimensional Chebyshev Space by Mansour Alyazidi-Asiry

“…This paper is concerned with extending a Chebyshev system of n continuous nonconstant functions into a set of n+1 functions including a constant function. …”
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Variable Exponent Function Spaces related to a Sublinear Expectation by Bochi Xu

“…A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modification of stochastic processes.…”
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Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms by Zhouhong Li

“…By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of four positive solutions for two species parasitical system with impulsive effects and harvesting terms. …”
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Units in families of totally complex algebraic number fields by L. Ya. Vulakh

“…Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number fields of degrees four, six, and eight.…”
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Analysis of the Learning Curve of Surgeons without Previous Experience in Laparoscopy to Perform Robot-Assisted Radical Prostatectomy by Felipe Monnerat Lott, Deborah Siqueira, Hermano Argolo, Bernardo Lindberg Nóbrega, Franz Santos Campos, Luciano Alves Favorito

“…There was progressive postoperative improvement and maintenance of continence and sexual potency until the last patient was operated in our sample. …”
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Extraction of 10–30-Day Stable Components from a Boreal Atmosphere during ENSO Phases by Kuo Wang, Guolin Feng, Yuxing Zeng, Zhengquan Li

“…Comparisons between pentad-by-pentad changes in the explained variances of the 10–30-day STs under ENSO phases show that the explained variance transmission attenuation trends for El Niño and La Niña years are weaker and more continuous than those of neutral years. Data for 10–30-day STs can remain continuous and stable from one month to the next. …”
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Places of Memory in the Red Vyborg of 1918 by Outi Fingerroos

“…The atmosphere of concealing continued until the 1960s, when especially Finnish literature took pioneer steps towards the more open minded interpretation of history. …”
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