Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations by Hui Li, Nana Jin, Yu Zhang

“…By means of the Schauder-Tychonoff fixed point theorem and inequality techniques, some new sufficient conditions for the existence of nonoscillatory solutions were established. …”
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Combined Synchronization among Three Inconsistent Networks by Yuan Chai, Xiaojing Zhu, Jingjing Cai

“…According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. …”
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Fourier transforms in generalized Fock spaces by John Schmeelk

“…The Fourier transform will be introduced into this setting. A theorem will be proven relating the convergence of the transform to the parameter, s, which sweeps out a scale of generalized Fock spaces.…”
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Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings by M. Dilshad, A. F. Aljohani, M. Akram

“…Some consequences of the main theorem are also given. Finally, the convergence analysis of the sequences achieved from the iterative scheme is illustrated with the help of a numerical example.…”
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A New Result on Tricyclic Mappings by Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri

“…In this note, we present a best proximity point theorem for tricyclic contractions in the setting of CAT(0) spaces. …”
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Dynamic analysis and Chaos control in a discrete predator-prey model with Holling type IV and nonlinear harvesting by Karima Mokni, Mohamed Ch-Chaoui

“…This analysis utilizes bifurcation theory and the center manifold theorem. The chaos influenced by NSB is stabilized. …”
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Evaluation of Self-Friction Three-Center Nuclear Attraction Integrals with Integer and Noninteger Principal Quantum Numbers n over Slater Type Orbitals by Ebru Çopuroğlu

“…We have proposed a new approach to evaluate self-friction (SF) three-center nuclear attraction integrals over integer and noninteger Slater type orbitals (STOs) by using Guseinov one-range addition theorem in standard convention. A complete orthonormal set of Guseinov ψα exponential type orbitals (ψα-ETOs, α=2,1,0,-1,-2,…) has been used to obtain the analytical expressions. …”
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Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method by Tetsuo Inoue, Hideo Kuhara, Kaname Amano, Dai Okano

“…The scheme is based on the asymptotic theorem on extremal weighted polynomials. The scheme has the characteristic called invariant and dual. …”
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An Integer Linear Programming Model for Partially Ordered Sets by Elsayed Badr, I.M. Selim, Hoda Mostafa, Hala Attiya

“…Robert Dilworth’s Decomposition theorem is formulated by ILPM and proves its correctness using the paradigm of strong duality in linear programming. …”
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Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients by Li-hua Zhang

“…Based on the obtained symmetries, many nontrivial and time-dependent conservation laws for the equation are obtained with the help of Ibragimov’s new conservation theorem. Applying the characteristic equations of the obtained symmetries, the (2 + 1)-dimensional KP equation is reduced to (1 + 1)-dimensional nonlinear partial differential equations, including a special case of (2 + 1)-dimensional Boussinesq equation and different types of the KdV equation. …”
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Optimality Conditions for a Nonsmooth Uncertain Multiobjective Programming Problem by Wenyan Han, Guolin Yu, Tiantian Gong

“…Firstly, under the extended nonsmooth Mangasarian–Fromovitz constrained qualification assumption, the optimality necessary conditions of robust approximate quasi weak efficient solutions are given by using an alternative theorem. Secondly, a class of generalized convex functions is introduced to the problem (NUMP), which is called the pseudoquasi-type-I function, and its existence is illustrated by a concrete example. …”
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Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation by Huiqin Chen, Shugui Kang, Lili Kong, Ying Gao

“…By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained. …”
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Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects by Haidong Liu, Fanwei Meng

“…In addition, in the remark, we point out some minor errors which appeared in the proof of theorems in some published papers with relevant predator-prey models. …”
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Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application by Caixia Guo, Jianmin Guo, Ying Gao, Shugui Kang

“…On the other hand, by using the main properties of Green function and the Krasnoselskii fixed point theorem on cones, some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established.…”
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Global Existence and Blowup Analysis to Single-Species Bacillus System with Free Boundary by Zhi Ling, Zhigui Lin

“…The local existence and uniqueness of the solution are first obtained by using the contraction mapping theorem. Then we exhibit an energy condition, involving the initial data, under which the solution blows up in finite time. …”
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Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

“…Banach's fixed-point principle and Shaefer's fixed-point theorem were exploited to ensure that two existence conditions of the solutions for the problems were established. …”
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Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application by Ziaul Islam, Muhammad Sarwar, Manuel de la Sen

“…Furthermore, using α-admissible Hardy-Rogers’ contractive conditions, we have proven fixed-point theorems for self-mappings, which generalize and strengthen many of the conclusions in existing literature. …”
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Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions by Ömer Kişi

“…In addition, we obtain the lacunary statistical form of Egorov’s theorem for double sequences of fuzzy-valued measurable functions in a finite measurable space. …”
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Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3 by Ling Ding, Lin Li, Jin-Ling Zhang

“…Under appropriate assumptions on k,f, and h, existence of two positive solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory.…”
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Applications of Some Generalized Janowski Meromorphic Multivalent Functions by Bakhtiar Ahmad, Muhammad Ghaffar Khan, Maslina Darus, Wali Khan Mashwani, Muhammad Arif

“…We investigate and study some useful geometric properties of this class of functions such as sufficiency criteria, distortion problem, growth theorem, radii of starlikeness and convexity, convex combination, and coefficient estimates for this class.…”
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