Analytic Solution of a Class of Fractional Differential Equations by Yue Hu, Zuodong Yang

“…We consider the analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. We obtain three theorems which extend the Garra’s results to the general case.…”
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On Cyclic Generalized Weakly C-Contractions on Partial Metric Spaces by Erdal Karapınar, Vladimir Rakocević

“…The results of this paper extend, generalize, and improve some fixed point theorems in the literature.…”
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A singular boundary value problem for neutral equations by Vasil G. Angelov

“…Using some previous results of the author and Kirk-Schöneberg, theorems for the existence and uniqueness of an absolutely continuous solution of a singular boundary value problem for neutral equations have been proved.…”
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Lyapunov Stability in the Cournot Duopoly Game by Dan Zhu, Debing Ni

“…We next prove a group of equivalent characterizations of Lyapunov stability at a point to deduce the composite theorems and product theorems of Lyapunov stability at a point, and then we prove three equivalent characterizations of the Cournot duopoly system to demonstrate that this system is Lyapunov stable at its unique nonzero fixed point (Cournot equilibrium point) when the unit costs of the Cournot double oligarchies satisfy certain conditions. …”
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A Generalization of Hermite–Hadamard–Fejer Type Inequalities for the p-Convex Function via α-Generator by Erdal Ünlüyol, Yeter Erdaş

“…Second, we obtain some new theorems for this function with respect to the α-generator. …”
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Existence of Periodic Solutions for a Class of Difference Systems with p-Laplacian by Kai Chen, Qiongfen Zhang

“…By applying the least action principle and minimax methods in critical point theory, we prove the existence of periodic solutions for a class of difference systems with p-Laplacian and obtain some existence theorems.…”
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On Harmonic Meromorphic Functions Associated with Basic Hypergeometric Functions by Huda Al dweby, Maslina Darus

“…We obtain some properties such as coefficient inequality, growth theorems, and extreme points.…”
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Strong oscillations for second order nonlinear functional differential equations by Jurang Yan

“…In this paper, we establish some strongly oscillation theorems for nonlinear second order functional differential equationx″(t)+p(t)f(x(t),x(g(t)))=0without assuming that g(t) is retarded or advanced.…”
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Some E-J Generalized Hausdorff Matrices Not of Type 𝑀 by T. Selmanogullari, E. Savaş, B. E. Rhoades

“…We show that there exists a regular E-J generalized Hausdorff matrix which has no zero elements on the main diagonal and which is not of type 𝑀 and establish several other related theorems.…”
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Generalized Proximal ψ-Contraction Mappings and Best Proximity Points by Winate Sanhan, Chirasak Mongkolkeha, Poom Kumam

“…We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.…”
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Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications by Caiqin Wang, Hongbin Xie, Zengtai Gong

“…In this paper, the concepts of the $ \alpha- $pseudo-differentiability and the pseudo-Stieltjes integrability are proposed, and the corresponding transformation theorems and Newton–Leibniz formula are established. …”
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On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 by Allan J. Kroopnick

“…Furthermore, some applications of these results are given during the discussion and proofs of the theorems.…”
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Two-Weight Extrapolation on Lorentz Spaces by Wenming Li, Tingting Zhang, Limei Xue

“…We give several two-weight extrapolation theorems on Lorentz spaces which extend the results of Cruz-Uribe and Pérez (2000) and some applications for the singular integral operators, the potential type operators, and commutators.…”
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Normal Families and Growth of Meromorphic Functions with Their Kth Derivatives by Jianming Qi, Fanning Meng, Wenjun Yuan

“…Relying on the normal family theory, we mainly study uniqueness problems of meromorphic functions and their kth derivatives and estimate sharply the growth order of their meromorphic functions. Our theorems improve some previous results.…”
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Impulsive Antiperiodic Boundary Value Problems for Nonlinear qk-Difference Equations by Lihong Zhang, Bashir Ahmad, Guotao Wang

“…We show the existence and uniqueness of solutions for an antiperiodic boundary value problem of nonlinear impulsive qk-difference equations by applying some well-known fixed point theorems. An example is presented to illustrate the main results.…”
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Certain remarks on a class of evolution quasi-variational inequalities by A. H. Siddiqi, Pammy Manchanda

“…We prove two existence theorems, one for evolution quasi-variational inequalities and the other for a time-dependent quasi-variational inequality modeling the quasi-static problem of elastoplasticity with combined kinetic-isotropic hardening.…”
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On a general Hyers-Ulam stability result by Costanz Borelli, Gian Luigi Forti

“…In this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. …”
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Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales by Weisong Chen, Zhenlai Han, Shurong Sun, Tongxing Li

“…By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. …”
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On Multivalued Nonexpansive Mappings in ℝ-Trees by K. Samanmit, B. Panyanak

“…The relationships between nonexpansive, weakly nonexpansive, *-nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ-semicontinuous mappings in ℝ-trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.…”
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Fixed Point Results in Quasi-Cone Metric Spaces by Fawzia Shaddad, Mohd Salmi Md Noorani

“…The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. …”
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