Concerning Kirk’s problem by Hamid Mottaghi Golshan

“…Finally, Ekeland’s variational principle (abbreviated EVP) is developed.…”
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THE CURRENT STATE OF AUTOMATIC GEARBOXES by Gheorghe GÎLCĂ

“…The paper presents the working principle of an automatic gearbox. It also describes the main gear change programs as well as the memorized maps, the latter showing the driving regime depending on the set gear. …”
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The blue of the sky: Carlo Scarpa a Palermo by Santo Giunta

“…In particular, in the re-adaptation of Palazzo Abatellis, he proposed solutions and hypotheses for its re–use in order to redefine an organizational principle upon which to base the existing space and from which rules emerge which, in his treatment, give meaning to the entire physical and visible environment.…”
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Stability of Impulsive Differential Systems by Andrejs Reinfelds, Lelde Sermone

“…The asymptotic phase property and reduction principle for stability of a trivial solution is generalized to the case of the noninvertible impulsive differential equations in Banach spaces whose linear parts split into two parts and satisfy the condition of separation.…”
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HOW AND WHY IT IS REQUIRED TO STUDY HISTORY AT SCHOOL AS WELL AS AT UNIVERSITY? by Georgy A. Antipov

“…The principle cultural contexts are considered, which are necessary to be taken into account in order to create “the single textbook of history”. …”
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Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions by Mohamed I. Abbas

“…The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. …”
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The Effect of Residual Stress on the Electromechanical Behavior of Electrostatic Microactuators by Ming-Hung Hsu

“…It applies the differential quadrature method, Hamilton's principle, and Wilson-θ integration method to derive the equations of motion of electrostatic microactuators and find a solution to these equations. …”
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On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type by Pavel Drábek

“…We focus on the Ljusternik-Schnirelmann method, present one possible alternative to this method and compare it with the Courant-Fischer minimax principle in the linear case. At the end we present a special nonlinear eigenvalue problem possessing an eigenvalue which allows the variational characterization but is not of Ljusternik-Schnirelmann type.…”
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Liminf and limsup contractions by Alberto Branciari

“…We give some theorems related to the contraction mapping principle of Banach-Caccioppoli and Edelstein. The contractive conditions we consider involve the quantities lim infξ→⋅d(ξ,fξ) and lim supξ→⋅d(ξ,fξ) instead of d(⋅,f⋅). …”
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Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition by Ge-Feng Yang

“…We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence and uniqueness of a nontrivial solution of a system are obtained.…”
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Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows by Wanchen Cui, Hong Cai

“…By using the contraction mapping principle, we prove the existence and uniqueness of strong solution around the constant state in some suitable function space.…”
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Bi-Univalent Function Classes Defined by Using a Second Einstein Function by Alaa H. El-Qadeem, Saleh A. Saleh, Mohamed A. Mamon

“…Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane. …”
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Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions by Jie Liu, Qing Miao

“…When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions.…”
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Viscosity solutions of fully nonlinear functional parabolic PDE by Liu Wei-an, Lu Gang

“…Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existence and uniqueness are established by the fixed point theory.…”
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Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space by Hristo Kiskinov, Andrey Zahariev

“…By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ-bounded solutions of these equations on R and R+.…”
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Stability of equilibria of a predator-prey model of phenotype evolution by Sílvia Cuadrado

“…Local stability of the equilibria of this model is studied using thelinearized stability principle and taking advantage of the(assumed) asymptotic stability of the equilibria of the residentpopulation adopting an evolutionarily stable strategy.…”
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Adaptive Feedback Control for Synchronization of Chaotic Neural Systems with Parameter Mismatches by Qian Ye, Zhengxian Jiang, Tiane Chen

“…By means of an invariance principle, a rigorous adaptive feedback method is explored for synchronization of a class of coupled chaotic delayed neural systems in the presence of parameter mismatches. …”
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Approximation structures and applications to evolution equations by Adrian Duma, Cristian Vladimirescu

“…We discuss various properties of the nonlinear A-proper operators as well as a generalized Leray-Schauder principle. Also, a method of approximating arbitrary continuous operators by A-proper mappings is described. …”
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Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms by Zhong-Hua Wu

“…Certain adequate conditions are derived guaranteeing there is unique μ-pseudo almost periodic solution to the equation by Lipschitz condition and contraction mapping principle. Finally, an example is used to demonstrate our theoretical findings.…”
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Nonequilibrium Black Hole Thermodynamics in Anti-de Sitter Spacetime by Kai Lin

“…Taking the Vaidya-Anti-de Sitter black hole spacetime as an example, the local entropy balance equations and principle of minimum entropy generation are derived, and finally, some irreversible effects in nonequilibrium thermodynamics are studied by using the Onsager reciprocal relation.…”
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