Positive Solution to a Fractional Boundary Value Problem by A. Guezane-Lakoud, R. Khaldi

“…By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained.…”
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On Best Approximations in Hyperconvex Spaces by Reny George, Zoran D. Mitrović, Hassen Aydi

“…In this manuscript, we present further extensions of the best approximation theorem in hyperconvex spaces obtained by Khamsi.…”
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Automorphisms and Inner Automorphisms by Ameer Jaber, Moh’D Yasein

“…., commuting with ⁎) by using the classical theorem of Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.…”
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Boundedness of Solutions for a Class of Second-Order Periodic Systems by Shunjun Jiang, Yan Ding

“…Under some assumptions on the V(x) and p(x,t) by Ortega’ small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.…”
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A Nonlinear Implicit Fractional Equation with Caputo Derivative by Ameth Ndiaye

“…Then, another result that deals with the existence of at least one solution is delivered and some sufficient conditions for this result are established by means of the fixed point theorem of Schaefer. At the end, we discuss two examples to illustrate the applicability of the main results.…”
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Thermoelasticity without energy dissipation for initially stressed bodies by Jun Wang, Susan Palmer Slattery

“…A linear theory of thermoelasticity without energy dissipation for prestressed bodies is derived and the uniqueness theorem for a class of mixed initial-boundary value problems is established.…”
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Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow by Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed

“…The main tools are Schäfer’s fixed-point theorem, the Fredholm alternative, and some theorems on second-order elliptic operators.…”
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A Note on Wave Equation and Convolutions by Adem Kiliçman, Hassan Eltayeb

“…We extend the convolution theorem into a general case with a double convolution as the nonhomogenous term. …”
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The general quasi-order algorithm in number theory by Peter Hilton, Jean Pedersen

“…This paper deals with a generalization of the Binary Quasi-Order Theorem. This generalization involves a more complicated algorithm than (0.2)t. …”
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On the Study of Chemostat Model with Pulsed Input in a Polluted Environment by Zhong Zhao, Xinyu Song

“…By using the Floquet theorem, we find that the microorganism eradication periodic solution is globally asymptotically stable if the impulsive period T is more than a critical value. …”
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Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations by Zhanbing Bai, Weichen Sun, Weihai Zhang

“…In this paper, by using a fixed point theorem, we investigate the existence of a positive solution to the singular fractional boundary value problem , , where , , , is Caputo fractional derivative, is singular at the value 0 of its arguments , and satisfies the Lipschitz condition.…”
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Lagrangian Stability of a Class of Second-Order Periodic Systems by Shunjun Jiang, Fang Fang

“…Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions.…”
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Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms by Liang Fei, Gao Hongjun

“…We prove a global nonexistence theorem for certain solutions with positive initial energy.…”
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Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals by Hairong Lian, Junfang Zhao

“…By using such techniques and the Schäuder fixed point theorem, some criteria are presented for the existence of solutions and positive ones to the problem discussed.…”
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Differential Subordination and Superordination for Srivastava-Attiya Operator by Maisarah Haji Mohd, Maslina Darus

“…Further, we obtain some interesting results on sandwich-type theorem for the same.…”
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Existence and Uniqueness of Almost Periodic Solutions for Neural Networks with Neutral Delays by Min Xu, Zengji Du, Kaige Zhuang

“…The existence and uniqueness of almost periodic solution for the system are obtained by using fixed point theorem; we extend some results in the references.…”
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Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces by Pattanapong Tianchai

“…The strong convergence theorem for the above two sets is obtained by a general iterative scheme based on the shrinking projection method, which extends and improves that of Qin et al. (2010) and many others.…”
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On Properties of the Choquet Integral of Interval-Valued Functions by Lee-Chae Jang

“…In particular, we investigate the convergence theorem for the Choquet integral of measurable interval-valued functions.…”
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Iterated Stieltjes transform of generalized functions by L. S. Dube

“…The generalized S2-transform of a member of f of a certain space of generalized functions is defined as F(x)=〈f(t),k(x,t;ρ)〉, wherek(x,t;ρ)=∫0∞1(x+y)ρ(y+t)ρ  dy,  ρ>12,0<x<∞  and  0<t<∞. An inversion theorem for the transform is established interpreting the oonvergene in the weak distributional sense.…”
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Permanence of a Discrete Predator-Prey Systems with Beddington-DeAngelis Functional Response and Feedback Controls by Xuepeng Li, Wensheng Yang

“…By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.…”
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