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Electronic Journal of Differential EquationsThis 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 $$ \Big(r_2(t)\big(r_1(t)z'(t)\big)'\Big)'+g(t)x(t)=0, $$ where \( z(t)=x(t)+p(t)x(\tau(t))\).
Ganesh Purushothaman +3 more
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MathematicsThe purpose of this paper is to add some new asymptotic and oscillatory results for third-order neutral delay differential equations with noncanonical operators.
Gunasekaran Nithyakala +3 more
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New oscillation constraints for even-order delay differential equations [PDF]
Opuscula Mathematica, 2023 The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions.
Osama Moaaz +3 more
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Axioms, 2023 The purpose of this research is to investigate the asymptotic and oscillatory characteristics of odd-order neutral differential equation solutions with multiple delays.
Fahd Masood +3 more
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Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions [PDF]
Advances in Difference Equations, 2021 AbstractIn this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the nonexistence criteria of Kneser solutions, we establish the criteria for oscillation that take into account the effect of the delay argument, where to our knowledge all the previous results neglected the ...
Ali Muhib +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 By means of the shooting method together with the maximum principle and the Kneser–Hukahara continuum theorem, the authors present the existence, uniqueness and qualitative properties of solutions to nonlinear second-order boundary value problem on the ...
Minghe Pei, Libo Wang, Xuezhe Lv
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ASYMPTOTIC PROPERTIES OF KNESER SOLUTIONS TO THIRD-ORDER DELAY DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2022 Summary: The aim of this paper is to extend and complete the recent work by \textit{J. R. Graef} et al. [J. Appl. Anal. Comput. 11, No. 5, 2459--2472 (2021; Zbl 07907285)] analyzing the asymptotic properties of solutions to third-order linear delay differential equations.
Bohner, Martin +2 more
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Nonexistence of Kneser solution of neutral delay difference equation
International Journal of Membrane Science and Technology, 2023 By creating suitable standards for the nonexistence of so-called Kneser solutions, this study seeks to augment the third order neutral delay difference equations current oscillation results. The results of combining new and previous findings. All of the answers to the studied equations oscillate thanks to our work.
S. KALEESWARI, J. GWORI, J. GWORI
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Semidefinite programming and eigenvalue bounds for the graph partition problem [PDF]
, 2015 The graph partition problem is the problem of partitioning the vertex set of a graph into a fixed number of sets of given sizes such that the sum of weights of edges joining different sets is optimized.
Sotirov, Renata, van Dam, Edwin R.
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Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order
Applied Sciences, 2020 In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions.
Osama Moaaz +3 more
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