Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory [PDF]
The objective of this study was to improve existing oscillation criteria for delay differential equations (DDEs) of the fourth order by establishing new criteria for the nonexistence of so-called Kneser solutions. The new criteria are characterized by taking into account the effect of delay argument.
Osama Moaaz +3 more
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The Transcription Factor SOX18 Inhibitor Small Molecule 4 Is a Potential Treatment of Cancer-Induced Lymphatic Metastasis and Lymphangiosarcoma. [PDF]
ABSTRACT Background Malignant tumors release growth factors, promoting lymphangiogenesis in primary tumors and draining sentinel lymph nodes, ultimately facilitating lymph node metastasis. As a malignant lymphatic tumor entity, lymphangiosarcomas are characterized by low survival rates and limited treatment options. The transcription factor SOX18 plays
Koll KK +4 more
europepmc +2 more sources
New Results for Kneser Solutions of Third-Order Nonlinear Neutral Differential Equations [PDF]
In this paper, we consider a certain class of third-order nonlinear delay differential equations r w ″ α ′ v + q v x β ς v = 0 , for v ≥ v 0 , where w v = x v + p v x ϑ v . We obtain new criteria for oscillation of all solutions of this nonlinear equation.
Osama Moaaz +3 more
openaire +2 more sources
On Conservative Averaging Method in Spline Applications
We consider the conservative averaging method for solving the 3-D boundary-value problem of second order in multilayer domain. Looking back to the history of mathematics, integral parabolic splines relates to conservative averaging method (CAM ...
Harijs Kalis, Ilmars Kangro
doaj +1 more source
Prodsimplicial-Neighborly Polytopes [PDF]
Simultaneously generalizing both neighborly and neighborly cubical polytopes, we introduce PSN polytopes: their k-skeleton is combinatorially equivalent to that of a product of r simplices.
B. Matschke +15 more
core +11 more sources
Nonexistence of Kneser solution for third order nonlinear neutral delay differential equations
Abstract The achieved sufficient conditions for nonexistence of so-called Kneser solutions are based on the new comparison principles, which help us decrease the problem of the wavering between the third and first-order equations. Examples are given to prove the significance of new theorems.
R. Elayaraja +2 more
openaire +1 more source
Handling Massive N-Gram Datasets Efficiently [PDF]
This paper deals with the two fundamental problems concerning the handling of large n-gram language models: indexing, that is compressing the n-gram strings and associated satellite data without compromising their retrieval speed; and estimation, that is
Pibiri, Giulio Ermanno +1 more
core +3 more sources
Nonoscillatory solutions of the four-dimensional difference system
We study asymptotic properties of nonoscillatory solutions for a four-dimensional system \[\begin{aligned} \Delta x_{n}&= C_{n}\, y_{n}^{\frac{1}{\gamma}} \\ \Delta y_{n}&= B_{n}\, z_{n}^{\frac{1}{\beta}} \\ \Delta z_{n}&= A_{n}\, w_{n}^{\frac{1}{\alpha}}
Zuzana Dosla, J. Krejčová
doaj +1 more source
Extensions of Fractional Precolorings show Discontinuous Behavior [PDF]
We study the following problem: given a real number k and integer d, what is the smallest epsilon such that any fractional (k+epsilon)-precoloring of vertices at pairwise distances at least d of a fractionally k-colorable graph can be extended to a ...
Albertson +18 more
core +6 more sources
On Kneser Solutions of Nonlinear Third Order Differential Equations
The paper concerns the third-order differential equation \(y'''(t)+q(t)y'(t)+f(y(t))=0\) on \([0,+\infty)\). Existence and asymptotic behaviour of Kneser solutions \(y\) are investigated, which are either positive, decreasing, and convex, or negative, increasing, and concave on some \([t_y,+\infty)\).
M. BARTUSEK, M. CECCHI, MARINI, MAURO
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