Advanced Search Results For "QA1-939"

Publication Type: Academic Journal

Source(s): Surveys in Mathematics and its Applications, Vol 18 (2023), Pp 135-148 (2023)

Abstract: In this search, we investigate a relation between generalized distribution series and particular subclasses of univalent functions. Further, we obtain the sufficient conditions for generalized distribution series 𝒩ψ(τ,z) and ℳ*ψ(η,τ,z) belongs to ℒθ(A,...

Publication Type: Academic Journal

Source(s): Surveys in Mathematics and its Applications, Vol 18 (2023), Pp 149-162 (2023)

Abstract: In this paper, the nonlinear shallow water problem is studied analytically and numerically. This problem has been studied by different authors in the linear case; here we consider a nonlinear one with non constant coefficients. We first start by a math...

Publication Type: Academic Journal

Source(s): Archives of Control Sciences, Vol vol. 33, Iss No 3, Pp 607-629 (2023)

Abstract: We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation. Our analysis provides necessary and sufficient conditions for allocation of the roots in the ...

Publication Type: Academic Journal

Source(s): Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 2661-773 (2023)

Abstract: This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s...

Publication Type: Academic Journal

Source(s): Open Mathematics, Vol 21, Iss 1, Pp 229-235 (2023)

Abstract: Let GG be a simple graph with degree sequence D(G)=(d1,d2,…,dn)D\left(G)=\left({d}_{1},{d}_{2},\ldots ,{d}_{n}). The first degree-based entropy of GG is defined as I1(G)=ln∑i=1ndi−1∑i=1ndi∑i=1n(dilndi){I}_{1}\left(G)=\mathrm{ln}{\sum }_{i=1}^{n}{d}_{i}...

Publication Type: Academic Journal

Source(s): Open Mathematics, Vol 21, Iss 1, Pp 262-279 (2023)

Abstract: We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: ΔHu−μ1ϕ1u=∣u∣2u+Fu(ξ,u,v),inΩ,−ΔHv+μ2ϕ2v=∣v∣2v+Fv(ξ,u,v),inΩ,−ΔHϕ1=u2,−ΔHϕ2=v2,inΩ,ϕ1=ϕ2=u=v=0,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{H}u-{\mu }_{...

Publication Type: Academic Journal

Source(s): Open Mathematics, Vol 21, Iss 1, Pp 63-100 (2023)

Abstract: Our objective is the compressed enumeration (based on wildcards) of all minimal hitting sets of general hypergraphs. To the author’s best knowledge, the only previous attempt towards compression, due to Toda, is based on binary decision diagrams and mu...

Publication Type: Academic Journal

Source(s): Open Mathematics, Vol 21, Iss 1, Pp 159-215 (2023)

Abstract: This article shows the existence and multiplicity of solutions for the following pp-Kirchhoff-type equation: a+b∫RN(∣∇u∣p+V(x)∣u∣p)dx(−△pu+V(x)∣u∣p−2u)=λg(x)∣u∣r−2u−h(x)∣u∣q−2u,inRN.\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}\left({| \nabla u| ...

Publication Type: Academic Journal

Source(s): Open Mathematics, Vol 21, Iss 1, Pp 262-265 (2023)

Abstract: There are strong relations between the theory of continued fractions and groups of linear fractional transformations. We consider the group G3,3{G}_{3,3} generated by the linear fractional transformations a=1−1∕za=1-1/z and b=z+2b=z+2. This group is th...

Publication Type: Academic Journal

Source(s): Open Mathematics, Vol 21, Iss 1, Pp 433-454 (2023)

Abstract: In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces. The estimation of the control function is discussed, w...