On Kneser Solutions of the n-th Order Nonlinear Differential Inclusions [PDF]
The paper deals with the existence of a Kneser solution of the n-th order nonlinear differential inclusion $${x^{(n)}}(t) \in - {A_1}(t,x,(t),...,{x^{(n - 1)}}(t)){x^{(n - 1)}}(t) - ... - {A_n}(t,x(t),...,{x^{(n - 1)}}(t))x(t)\;\text{for}\;\text{a.a.}\;t\
M. Pavlačková
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Global Kneser solutions to nonlinear equations with indefinite weight
The paper deals with the nonlinear differential equation \begin{document}$\bigl(a(t)\Phi(x^{\prime})\bigr)^{\prime}+b(t)F(x)=0,\ \ \ t\in\lbrack1,\infty),$ \end{document} in the case when the weight \begin{document}$b$\end{document} has indefinite sign ...
Z. Došlá, M. Marini, S. Matucci
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On the Kneser problem for two-dimensional differential systems with advanced arguments
For the differential system with advanced arguments , sufficient conditions are established for the existence and uniqueness of a solution of the Kneser problem and the asymptotic behaviour of this solution is studied.
Kiguradze I, Partsvania N
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This article focuses on the existence and asymptotic behavior of Kneser-type solutions to third-order noncanonical differential equations with a delay or advanced argument in the neutral term $$ \Big(r_2(t)\big(r_1(t)z'(t)\big)'\Big)'+g(t)x(t)=0 ...
Ganesh Purushothaman +3 more
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On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations [PDF]
Summary: The paper deals with the existence of Kneser solutions to \(n\)th-order nonlinear differential equations with quasiderivatives.
Palumbíny, Oleg
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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. Bartušek, Mariella Cecchi, M. Marini
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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
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KNESER'S THEOREM FOR WEAK SOLUTIONS OF AN INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL [PDF]
We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.
A. Dutkiewicz, S. Szufla
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Kneser's Property of Solution Families of Non.linear Volterra Integral Equations
Consider a system of nonlinear integral equations of Volterra-type (P) x(t) f(t)+[o g(t, s, x(s))ds. Recently R. K. Miller and G. R. Sell [1] proved some fundamental theorems of (P) under airly general assumptions on f(t) and g(t, s, x) similaro the Carathodory-ype.
S. Nakagiri, H. Murakami
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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
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