Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems by Yuhua Long, Haiping Shi

“…By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. …”
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Quadratic Cost Minimax Optimal Control Problems for a Semilinear Viscoelastic Equation with Long Memory by Jin-soo Hwang

“…A global well-posedness theorem regarding the solutions to its Cauchy problem is given. …”
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Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators by Ramesh, Golla, Sequeira, Shanola S.

“…We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi $ in terms of the symbol $\varphi \in L^\infty $.…”
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Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response by Runxin Wu, Lin Li

“…By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley-Holling III type functional response are obtained. …”
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Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse by Zhiping Wang, Rui Xu

“…The existence of a travelling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results.…”
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Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings by R. K. Bisht

“…The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity. …”
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The existence of positive periodic solutions of a generalized by Meili Li, Maoan Han, Chunhai Kou

“…By using the continuation theorem ofcoincidence degree theory, a set of easily verifiable sufficientconditions is obtained. …”
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Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant by Abid Khan, Mirajul Haq, Luminiţa-Ioana Cotîrlă, Georgia Irina Oros

“…For our new function class, extended Bernardi’s theorem is studied, and the upper bounds for the fourth Hankel determinant are determined.…”
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The Stability of a General Sextic Functional Equation by Fixed Point Theory by Jaiok Roh, Yang-Hi Lee, Soon-Mo Jung

“…And by applying the fixed point theorem in the sense of Ca˘dariu and Radu, we will discuss the stability of the solutions for this functional equation.…”
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Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space by Qiuju Xing, Yuming Shi

“…By the transversal homoclinic theorem, it is shown that the map space contains a dense set of maps that have transversal homoclinic orbits and are chaotic in the sense of both Li-Yorke and Devaney with positive topological entropy.…”
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Existence Results for Fractional Differential Equations with Multistrip Riemann–Stieltjes Integral Boundary Conditions by Tongling Lv, Huihui Pang, Limei Cao

“…Our results are based on the Leggett–Williams fixed point theorem. In the end, two examples are worked out to illustrate our main work.…”
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Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem by Xian Hu, Yong-Yi Lan

“…The main tools are variational method, critical point theory, and mountain-pass theorem.…”
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Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses by Nina Huo, Yongkun Li

“…By using a new continuation theorem of the coincidence degree theory, the existence of antiperiodic solutions for QVSICNNs is obtained. …”
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Existence of Solutions for a Quasilinear Reaction Diffusion System by Canrong Tian

“…By Schauder fixed point theorem, it is shown that the system admits at least one positive solution if there exist a coupled of upper and lower solutions. …”
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Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation by Moustafa El-Shahed

“…Our analysis relies on Krasnoselskiis fixed point theorem of cone preserving operators. An example is also given to illustrate the main results.…”
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Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications by Badriah Alamri

“…Additionally, we showcase the practical relevance of our primary theorem by solving a Urysohn integral equation.…”
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Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension by Shaban Khidr, Osama Abdelkader

“…In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M.…”
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Generalized Common Fixed Point Results with Applications by Marwan Amin Kutbi, Muhammad Arshad, Jamshaid Ahmad, Akbar Azam

“…Moreover, we proved an existence theorem for the common solution for two Urysohn integral equations. …”
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Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations by Shaobo Zhou

“…Our effort is to develop a criterion on almost surely exponential stability of numerical solution to stochastic pantograph differential equations, with the help of the discrete semimartingale convergence theorem and the technique used in stable analysis of the exact solution. …”
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Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature by Kairen Cai, Huiqun Xu

“…The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that a compact connected hypersurface with positive constant higher-order mean curvature Hr for some fixed r , 1≤r≤n, immersed in the de Sitter space S1n+1 must be a sphere.…”
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