Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian by Junfang Zhao, Jianfeng Zhao, Weigao Ge

“…By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. …”
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Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination by Mei Yan, Zhongyi Xiang

“…By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. …”
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A Predator-Prey Model with Functional Response and Stage Structure for Prey by Xiao-Ke Sun, Hai-Feng Huo, Xiao-Bing Zhang

“…The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive equilibrium is also studied. …”
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Fixed Point Results Satisfying Rational Type Contraction in G-Metric Spaces by Branislav Z. Popović, Muhammad Shoaib, Muhammad Sarwar

“…A unique fixed point theorem for three self-maps under rational type contractive condition is established. …”
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Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales by Wen Guan, Da-Bin Wang

“…By applying the Five-Functional Fixed Point Theorem, the existence criteria of three positive solutions are established.…”
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Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model by Tiejun Zhou, Xiaolan Zhang, Min Wang

“…By using the continuation theorem of Mawhins coincidence degree theory, some new sufficient conditions are obtained for the existence of multiple positive periodic solutions of the discrete model. …”
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Bifurcation analysis of a diffusive plant-wrack model with tide effect on the wrack by Jun Zhou

“…The nonexistence of positive nonconstant steady state solutions are studied by energy method and Implicit Function Theorem. Numerical simulations are presented to verify and illustrate the theoretical results.…”
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Hamilton Energy Control for the Chaotic System with Hidden Attractors by Meibo Wang, Shaojuan Ma

“…Then, the Hamilton energy function of the new system is calculated by the Helmholtz theorem and the energy feedback controller is designed. …”
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Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method by Tian Wang, Zhaocai Hao

“…By applying the fixed point theorem in cone, we get the existence and uniqueness of positive solutions for the fractional differential equation. …”
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Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem by Taiyong Chen, Wenbin Liu, Hua Jin

“…By using the mountain pass theorem and the genus properties in the critical point theory, we get some new results on the existence and multiplicity of nontrivial weak solutions for such Dirichlet problem.…”
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On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences by Naim L. Braha, Feyzi Başar

“…Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.…”
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Hopf Bifurcation and Chaos of a Delayed Finance System by Xuebing Zhang, Honglan Zhu

“…Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, numerical simulation results are presented to validate the theoretical analysis. …”
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Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input by Xinyu Song, Zhong Zhao

“…By using the Floquet theorem, we find that the microorganism eradication periodic solution (u1∗(t),v1∗(t),0) is globally asymptotically stable if the impulsive period T is more than a critical value. …”
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Summability methods based on the Riemann Zeta function by Larry K. Chu

“…This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable. …”
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The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2 by Xianghu Liu, Zhenhai Liu, Maojun Bin

“…By means of Gronwall’s inequality and Leray-Schauder’s fixed point theorem, the sufficient condition for the existence of solutions and optimal controls is presented. …”
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Fixed Points of Multivalued Nonself Almost Contractions by Maryam A. Alghamdi, Vasile Berinde, Naseer Shahzad

“…We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.…”
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On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions by I. Najafi Khalilsaraye, K. Maleknejad

“…So, convergence of this approach is discussed by presenting a theorem which gives exponential type convergence rate and guarantees the accuracy of that. …”
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Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay by Haihui Wu, Shengbin Yu

“…By applying the comparison theorem of the differential equation and fluctuation lemma and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence, extinction, and existence of a unique globally attractive positive almost periodic solution of the system are obtained. …”
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Flow of electrorheological fluid under conditions of slip on the boundary by R. H. W. Hoppe, M. Y. Kuzmin, W. G. Litvinov, V. G. Zvyagin

“…We study a mathematical model describing flows of electrorheological fluids. A theorem of existence of a weak solution is proved. …”
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Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem by Jing Niu, Ping Li

“…A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition. …”
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