Results 21 to 30 of about 8,043,575 (337)
Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
Mathematics, 2022 The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
B. Almarri +3 more
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On oscillatory solutions of certain difference equations [PDF]
Opuscula Mathematica, 2006 Some difference equations with deviating arguments are discussed in the context of the oscillation problem. The aim of this paper is to present the sufficient conditions for oscillation of solutions of the equations discussed.
Grzegorz Grzegorczyk +1 more
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Oscillatory solutions to transport equations [PDF]
Indiana University Mathematics Journal, 2006 Let n ≥ 3. We show that there is no topological vector space X C L ∞ n L 1 loc (R x R n ) that embeds compactly in L 1 loc , contains BV loc n L ∞ , and enjoys the following closure property: If f ∈ X n (R × R n ) has bounded divergence and u 0 ∈ X(R n ), then there exists u ∈ X(R x R n ) which solves ∂ t u + div (uf) = 0 u(0,·) = u 0 in the ...
Crippa, Gianluca, De Lellis, Camillo
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Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations
Mathematics, 2020 In this paper, we deal with the oscillation of fourth-order nonlinear advanced differential equations of the form r t y ‴ t α ′ + p t f y ‴ t + q t g y σ t = 0 .
Omar Bazighifan, Ioannis Dassios
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On the location of zeros of oscillatory solution [PDF]
Transactions of the American Mathematical Society, 1983 The location of zeros of solutions of second order singular differential equations is provided by a new asymptotic decomposition formula. The approximate location of zeros is provided with high accuracy error estimates in the neighbourhood of the point at infinity.
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On second-order differential equations with highly oscillatory forcing terms [PDF]
, 2010 We present a method to compute efficiently solutions of systems of ordinary differential equations that possess highly oscillatory forcing terms. This approach is based on asymptotic expansions in inverse powers of the oscillatory parameter,and features ...
Deaño Cabrera, Alfredo +3 more
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WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions [PDF]
, 2010 The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-
Tsoutsanis, Panagiotis +2 more
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Existence of positive solutions of linear delay difference equations with continuous time
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Consider the delay difference equation with continuous time of the form \[x(t)-x(t-1)+\sum_{i=1}^mP_i(t)x(t-k_i(t))=0,\qquad t\ge t_0,\] where $P_i\colon[t_0,\infty)\mapsto\mathbb{R}$, $k_i\colon[t_0,\infty)\mapsto \{2,3,4,\dots\}$ and $\lim_{t\to\infty}(
George Chatzarakis +3 more
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Scale-up of oscillatory flow mixing [PDF]
, 2011 Oscillatory Flow Mixing is a recent development in mixing technology which has evolved over the past decade. It has a number of similarities to other mixing technologies, particularly pulsed and reciprocating plate columns, but at the laboratory scale ...
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Improved Conditions for Oscillation of Functional Nonlinear Differential Equations
Mathematics, 2020 The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations.
Omar Bazighifan, Mihai Postolache
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