Results 21 to 30 of about 29,141 (271)
Eigenvalue characterization for a class of boundary value problems
We consider the $n$'th order ordinary differential equation $(-1)^{n-k} y^{(n)}=\lambda a(t) f(y)$, $t\in[0,1]$, $n\geq 3$ together with the boundary condition $y^{(i)}(0)=0$, $0\leq i\leq k-1$ and $y^{(l)}=0$, $j\leq l\leq j+n-k-1$, for $1\leq j\leq k-1$
C. J. Chyan, Johnny Henderson
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On general partial Gaussian sums
Let q ≥ 2 $q\geq2$ be a fixed integer, A = A ( q ) ≤ q $A=A(q)\leq q$ , B = B ( q ) ≤ q $B=B(q)\leq q$ , and H = H ( q ) ≤ q $H=H(q)\leq q$ . Define ħ ( A , B , H ) = { a ∈ Z ∣ ( a , q ) = 1 , a b ≡ 1 ( mod q ) , 1 ≤ a ≤ A , 1 ≤ b ≤ B , | a − b | ≤ H } .
Ganglian Ren +2 more
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Proving exact values for the $2$-limited broadcast domination number on grid graphs [PDF]
We establish exact values for the $2$-limited broadcast domination number of various grid graphs, in particular $C_m\square C_n$ for $3 \leq m \leq 6$ and all $n\geq m$, $P_m \square C_3$ for all $m \geq 3$, and $P_m \square C_n$ for $4\leq m \leq 5$ and
Aaron Slobodin +2 more
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On energy, Laplacian energy and $p$-fold graphs
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\lambda_1$ and Laplacian spectrum ($L$-spectrum) $0=\mu_n\leq\mu_{n-1}\leq\cdots\leq\mu_1$, the energy is defined as $ E(G)=\sum_{i=1}^{n}|\lambda_i|$ and ...
Hilal A Ganie +2 more
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Multiple positive solutions for a nonlinear 2n-th order m-point boundary value problems
In this paper, we consider the existence of multiple positive solutions for the 2n-th order $m$-point boundary value problems: $$\left\{\begin{array}{ll} x^{(2n)}(t)=f(t,x(t),x^{''}(t),\cdots ,x^{(2(n-1))}(t)), 0\leq t\leq 1,\\ x^{(2i+1)}(0)=\sum\limits_{
Youyu Wang, Yantao Tang, Meng Zhao
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Bounds for the smallest $k$-chromatic graphs of given girth [PDF]
Let $n_g(k)$ denote the smallest order of a $k$-chromatic graph of girth at least $g$. We consider the problem of determining $n_g(k)$ for small values of $k$ and $g$.
Geoffrey Exoo, Jan Goedgebeur
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Homomorfisa Modul Deret Pangkat Tergeneralisasi Miring
Diberikan sebarang ring komutatif $R$ dengan elemen satuan, monoid terurut tegas $(S,\leq)$, homomorfisma monoid $\omega:S\rightarrow End(R)$, submonoid $S_1,S_2\subseteq S$ yang masing-masing dilengkapi urutan $\leq_1, \leq_2$ yang \textit{coarser ...
Ahmad Faisol, Fitriani Fitriani
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Limit theorems for ratios of order statistics from uniform distributions
Let {Xni,1≤i≤mn,n≥1} $\{X_{ni}, 1 \leq i \leq m_{n}, n\geq 1\}$ be an array of independent random variables with uniform distribution on [0,θn] $[0, \theta _{n}]$, and {Xn(k),k=1,2,…,mn} $\{X_{n(k)}, k=1, 2, \ldots , m_{n}\}$ be the kth order statistics ...
Shoufang Xu, Changlin Mei, Yu Miao
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Fraction of Clumpy Star-Forming Galaxies at $0.5\leq z\leq 3$ in UVCANDELS: Dependence on Stellar Mass and Environment [PDF]
High-resolution imaging of galaxies in rest-frame UV has revealed the existence of giant star-forming clumps prevalent in high redshift galaxies. Studying these sub-structures provides important information about their formation and evolution and informs
Lucas, R.A. +85 more
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Assessing urban green space distribution in a compact megacity by landscape metrics
The pattern and structure of urban green space (UGS) plays a significant role in the landscape and ecological quality (LEQ) of UGS, especially in a compact city with limited space.
Huilin Liang, Di Chen, Qingping Zhang
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