共查询到20条相似文献，搜索用时 15 毫秒
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《高校应用数学学报(英文版)》2024,39(4):584-595
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. 相似文献
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Dumitru Motreanu Calogero Vetro Francesca Vetro 《Numerical Functional Analysis & Optimization》2016,37(12):1551-1561
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《代数通讯》2013,41(10):4005-4025
Abstract In this paper, the author gives the classification of the inner (q) groups of odd prime power order. The main properties of inner (q) groups of odd prime power order are given in Theorem 1, and the details of the classification are given in Theorem 2. Some calculation methods in these groups also can be found in lemmas of this paper. 相似文献
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在广义Lebesgue空间Lp~(x)(Ω)和广义Sobolev空间W~(1,p(x))(Ω)的基本理论体系的基础上得到了一类p(x)-Laplace方程满足广义(PS)条件的一个充分条件. 相似文献
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在变指数Lebesgue空间Lp(x)(Ω)、变指数Sobolev空间W~1,p(x)(Ω)、加权变指数Lebesgue空间Lp(x)(Ω;|x~(α(x)))和加权变指数Sobolev空间W~1,p(x)(Ω;|x|~(a(x)))的基本理论体系的基础上利用山路引理得到一类p(x)-Laplace方程非平凡解的存在性. 相似文献
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The aim of this paper is to define $(p, q)$-analogue of Mittag-Leffler Function, by using $(p, q)$-Gamma function. Some transformation formulae are also derivedby using the $(p, q)$-derivative. The $(p, q)$-analogue for this function provides elegantgeneralization of $q$-analogue of Mittag-Leffler function in connection with $q$-calculus.Moreover, the $(p, q)$-Laplace Transform of the Mittag-Leffler function has been obtained. Some special cases have also been discussed. 相似文献
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Tuncer Acar 《Mathematical Methods in the Applied Sciences》2016,39(10):2685-2695
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)‐integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q‐Sz ász–Mirakyan operators are captured. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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研究了一含临界指数的p(x)-Laplace方程的Dirichlet边值问题,运用推广的集中紧致性原理,并结合山路引理得到了该问题非平凡弱解的存在性结果. 相似文献
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Galina Filipuk Stefan Hilger 《Journal of Difference Equations and Applications》2016,22(10):1426-1437
In this paper we show that the q-deformed commutator for a ladder is related to the usual commutator of the modified ladder. In addition, we consider a family of ladders in the (q, h)-Weyl algebra, which gives a factorization of certain second order difference equations. 相似文献
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研究了如下p(x)-Laplace方程(?)多解的存在性问题,其中Ω是R~N上具有光滑边界的有界区域.我们以改进的山路引理为工具,获得了在给予f(x,u)某些条件的基础上,该问题具有多解性结果的结论. 相似文献
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In this article, based on the variational approach, the existence of at least one nontrivial solution is studied for (p, q)‐Laplacian type impulsive fractional differential equations involving Riemann‐Liouville derivatives. Without the usual Ambrosetti‐Rabinowitz condition, the nonlinearity f in the paper is considered under some suitable assumptions. 相似文献
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In this paper,we consider the existence for periodic solutions of nonautonomous second-order differential systems with (q,p)-Laplacian by using the least action principle and the minimax methods. 相似文献
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利用山路引理,嵌入定理和h(o|¨)lder不等式证明了一类带权的p(x)-Laplace方程非平凡解的存在性. 相似文献
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Ying-Chieh Lin;Kuan-Hsiang Wang;Tsung-fang Wu; 《Mathematical Methods in the Applied Sciences》2024,47(18):14353-14374
In this paper, we study the existence, nonexistence and multiplicity results to a class of quasilinear elliptic system involving (p,q)$$ left(p,qright) $$-Laplacian by exploiting the competition of nonlinearities. We mainly propose a “like” Gagliardo–Nirenberg inequality for a pair of functions, and use it to combine the variational method to prove the existence, nonexistence and multiplicity of nontrivial nonnegative solutions for a quasilinear elliptic system involving (p,q)$$ left(p,qright) $$-Laplacian under different conditions between parameters. 相似文献
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Lê Vǎn Thành 《Mathematische Nachrichten》2023,296(1):402-423
Li, Qi, and Rosalsky (Trans. Amer. Math. Soc., 368 (2016), no. 1, 539–561) introduced a refinement of the Marcinkiewicz–Zygmund strong law of large numbers (SLLN), the so-called -type SLLN, where and . They obtained sets of necessary and sufficient conditions for this new type SLLN for two cases: , , and . Results for the case where and remain open problems. This paper gives a complete solution to these problems. We consider random variables taking values in a real separable Banach space , but the results are new even when is the real line. Furthermore, the conditions for a sequence of random variables satisfying the -type SLLN are shown to provide an exact characterization of stable type p Banach spaces. 相似文献
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Zhenhai Liu 《Applicable analysis》2018,97(8):1454-1465
AbstractExistence and location of solutions to a Dirichlet problem driven by (p, q)-Laplacian and containing a (convection) multivalued term fully depending on the solution and its gradient are established through the method of subsolution–supersolution. This result extends preceding works, in particular improving the growth condition for the lower order terms and allowing multivalued nonlinearities. A criterion for the existence of positive solutions with a priori estimates is obtained. Finally, an application to hemivariational inequalities is given. 相似文献
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Mi Zhou 《Journal of Nonlinear Modeling and Analysis》2023,5(3):565-579
In this paper, we investigate a class of the fractional $(p,q)$-difference initial value problem with the fractional $(p,q)$-integral boundary conditions with the aid of the method of successive approximations(Picard method) and fractional $(p,q)$-Gronwall inequality, obtaining sufficient conditions for the existence, uniqueness and continuous dependence results of solutions. 相似文献
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本文给出了如下形式的p(x)-Laplace方程 -div(|u|~(p(x)-2)u)+d(x)|u|~q(x)-2)u=0,x∈Ω的一个强极大值原理,其中p(x),q(x),d(x)满足一定的条件。 相似文献