On a System of Volterra Type Hadamard Fractional Integral Equations in Fréchet Spaces by Saïd Abbas, Mouffak Benchohra, Yong Zhou

“…Our investigation is conducted with an application of an extension of the fixed point theorem of Burton-Kirk in Fréchet spaces.…”
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Existence Results for a Fully Fourth-Order Boundary Value Problem by Yongxiang Li, Qiuyan Liang

“…The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem.…”
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Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities by Lingling Zhang, Chengbo Zhai

“…Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.…”
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Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter by Zhibo Cheng, Yun Xin

“…By applications of Green’s function and the Krasnoselskii fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established.…”
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Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops by Gang Zhu, Junjie Wei

“…Employing the center manifold theorem and normal form method introduced by Hassard et al. (1981), we give an algorithm for determining the Hopf bifurcation properties.…”
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Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae by Mawardi Bahri, Ryuichi Ashino

“…Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. …”
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SPDIEs and BSDEs Driven by Lévy Processes and Countable Brownian Motions by Pengju Duan

“…We prove the existence and uniqueness of the solutions to the backward stochastic differential equations by constructing Cauchy sequence and fixed point theorem. Moreover, we give a probabilistic solution of stochastic partial differential integral equations by means of the solution of backward stochastic differential equations. …”
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Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order by X. F. Hu, L. N. Wang

“…We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. …”
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Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits by Guanwei Chen

“…We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non-periodic damped vibration systems with asymptotically quadratic terms at infinity.…”
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Rings decomposed into direct sums of J-rings and nil rings by Hisao Tominaga

“…As a direct consequence of this result, the main theorem of [1] follows.…”
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A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition by Zhenhai Liu, Rui Wang

“…Firstly, by defining a weighted norm and using the Banach fixed point theorem, we show the existence and uniqueness of solutions. …”
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Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting by A. Gasmi, F. Soltani

“…We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.…”
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Complete Controllability of Fractional Neutral Differential Systems in Abstract Space by Fang Wang, Zhen-hai Liu, Jing Li

“…By using fractional power of operators and Sadovskii fixed point theorem, we study the complete controllability of fractional neutral differential systems in abstract space without involving the compactness of characteristic solution operators introduced by us.…”
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On the Well-Posedness of a Fractional Model of HIV Infection by Mohamed Jleli, Bessem Samet

“…Namely, using Grönwall’s lemma and Perov’s fixed point theorem, we obtain sufficient conditions for which the considered model admits a unique solution.…”
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Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays by Xinsong Yang

“…By using the coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. …”
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On Decays of Z ′ into Unparticle Stuff by G. A. Kozlov, I. N. Gorbunov

“…The extended Landau-Yang theorem is used. The clear photon signal would make the decay Z ′ → γ U as an additional contribution mode for study of unparticle physics.…”
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Controllability of semilinear stochastic delay evolution equations in Hilbert spaces by P. Balasubramaniam, J. P. Dauer

“…The controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given.…”
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On numerically effective log canonical divisors by Shigetaka Fukuda

“…For the proof, we use Fujino's abundance theorem for semi-log canonical threefolds.…”
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Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation by L. J. Shen, J. T. Sun

“…By using Schaefer's fixed theorem and stochastic analysis technique, we propose sufficient conditions on existence and uniqueness of solution for stochastic differential equations with impulses. …”
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Existence Results for Solutions of Integral Boundary Value Problems on Time Scales by Erbil Cetin, F. Serap Topal

“…We provide sufficient conditions for the existence of solutions by using Schauder fixed point theorem in a cone. Existence result for this problem is also given by the method of upper and lower solutions.…”
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