查看更多>>摘要：A graph G is said to be super-connected or simply super-κ,if each minimum vertex cut of G isolates a vertex.A graph G is said to be a k-vertex-orbit graph if there are k vertex orbits when Aut(G)acts on V(G).A graph G is said to be a k-edge-orbit graph if there are k edge orbits when Aut(G)acts on edge set E(G).In this paper,we give a necessary and sufficient condition for connected bipartite 2-vertex-orbit graphs to be super-κ.For 2-edge-orbit graphs,we give a sufficient condition for connected 2-edge-orbit graphs to be super-κ.In addition,we show that if G is a k-regular connected irreducible Ⅱ-kind 2-edge-orbit graph with k ≤ 6 and girth g(G)≥ 6,or G is a k-regular connected irreducible Ⅲ-kind 2-edge-orbit graph with k ≤ 6 and girth g(G)≥ 8,then G is super-connected.
查看更多>>摘要：Let H denote the class of complex-valued harmonic functions f defined in the open unit disc D and normalized by f(0)=fz(0)-1=0.In this paper,we define a new generalized subclass of H associated with the(p,q)-Ruscheweyh-type harmonic differential operator in D.We first obtain a sufficient coefficient condition that guarantees that a function f inH is sense-preserving harmonic univalent in D and belongs to the aforementioned class.Using this coefficient condition,we then examine ratios of partial sums of f in H.In all cases the results are sharp.In addition,the results so obtained generalize the related works of some authors,and many other new results are obtained.
查看更多>>摘要：In this paper,we exhibit a free monoid containing all prefix codes in connection with the sets of i-th powers of primitive words for all i ≥ 2.This extends two results given by Shyr and Tsai in 1998 at the same time.
查看更多>>摘要：LetTφ,abe a Fourier integral operator with amplitude a and phase functions φ.In this paper,we study the boundedness of Fourier integral operator of rough amplitude a ∈ L∞ Smp and rough phase functions φ ∈ L∞Φ2 with some measure condition.We prove the global L1 boundedness for Tφ,a when 1/2＜p ≤ 1 and m＜p-n+1/2.Our theorem improves some known results.
查看更多>>摘要：In this paper,we give the necessary and sufficient conditions for a class of higher degree polynomial systems to have a uniform isochronous center.At the same time,we prove that for this system the composition conjecture is correct.
查看更多>>摘要：In this paper,we study a kind of curvature flow in warped product spaces.We obtain convergence results under barrier conditions and restrictions on prescribed function.We also obtain the asymptotic behavior of a kind of inverse curvature flow in Schwarzschild manifold.
查看更多>>摘要：The main objective of this study is to find novel wave solutions for the time-fractional generalized Rosenau-Kawahara-RLW equation,which occurs in unidirectional water wave prop-agation.The generalized Rosenau-Kawahara-RLW equation comprises three equations Rosenau equation,Kawahara equation,RLW equation and also p-th order nonlinear term.All these equations describe the wave phenomena especially the wave-wave and wave-wall interactions in shallow and narrow channel waters.The auxiliary equation method is employed to get the analytical results.
查看更多>>摘要：We introduce a primitive class of analytic functions,by specializing in many well-known classes,classify Ma-Minda functions based on its conditions and their interesting geomet-rical aspects.Further,study a newly defined subclass of starlike functions involving a special type of Ma-Minda function introduced here for obtaining inclusion and radius results.We also establish some majorization,Bloch function norms,and other related problems for the same class.
查看更多>>摘要：In this research,novel epidemic models based on fractional calculus are developed by utilizing the Caputo and Atangana-Baleanu(AB)derivatives.These models integrate vacci-nation effects,additional safety measures,home and hospital isolation,and treatment options.Fractional models are particularly significant as they provide a more comprehensive under-standing of epidemic diseases and can account for non-locality and memory effects.Equilibrium points of the model are calculated,including the disease-free and endemic equilibrium points,and the basic reproduction number R0 is computed using the next-generation matrix approach.Results indicate that the epidemic becomes endemic when R0 is greater than unity,and it goes extinct when it is less than unity.The positiveness and boundedness of the solutions of model are verified.The Routh-Hurwitz technique is utilized to analyze the local stability of equilib-rium points.The Lyapunov function and the LaSalle's principle are used to demonstrate the global stability of equilibrium points.Numerical schemes are proposed,and their validity is established by comparing them to the fourth-order Runge-Kutta(RK4)method.Numerical simulations are performed using the Adams-Bashforth-Moulton predictor-corrector algorithm for the Caputo time-fractional derivative and the Toufik-Atangana numerical technique for the AB time-fractional derivative.The study looks at how the quarantine policy affected different human population groups.On the basis of these findings,a strict quarantine policy voluntarily implemented by an informed human population can help reduce the pandemic's spread.Addi-tionally,vaccination efforts become a crucial tool in the fight against diseases.We can greatly lower the number of susceptible people and develop a shield of immunity in the population by guaranteeing common access to vaccinations and boosting vaccination awareness.Moreover,the graphical representations of the fractional models are also developed.
查看更多>>摘要：The intention of this paper is to study new additive kind multi-dimensional func-tional equations inspired by several applications of difference equations in biology,control theory,economics,and computer science,as well as notable implementation of fuzzy ideas in certain situations involving ambiguity or vagueness.In the context of different fuzzy spaces,we demon-strate their various fundamental stabilities related to Ulam stability theory.An appropriate example is given to show how stability result fails when the singular case occurs.The findings of this study suggest that stability results are valid in situations with uncertain or imprecise da-ta.The stability results obtained under these fuzzy spaces are compared with previous stability results.
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