Results 1 to 10 of about 168,051 (190)
Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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Oscillatory Solutions to Neutral Delay Differential Equations [PDF]
Mathematics, 2021 This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari +4 more
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Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients
Electronic Journal of Differential Equations, 2018 We analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients.
Petr Hasil, Michal Vesely
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Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems [PDF]
Mathematica Bohemica, 2021 The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved.
Gevorg A. Grigorian
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Oscillatory solutions of Emden-Fowler type differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 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 existence of oscillating solutions in non-monotone Mean-Field Games [PDF]
, 2018 For non-monotone single and two-populations time-dependent Mean-Field Game systems we obtain the existence of an infinite number of branches of non-trivial solutions. These non-trivial solutions are in particular shown to exhibit an oscillatory behaviour
Cirant, Marco
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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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Asymptotic behavior of oscillatory solutions
Hiroshima Mathematical Journal, 1988 The aim in this paper is to study the asymptotic behavior of the oscillatory solutions of certain delay differential equations of the form \[ (1)\quad x'(t)+p(t)x(t-\tau)+q(t)x(t-\sigma)=0,\quad t\geq t_ 0 \] and of certain neutral equations of the form \[ (2)\quad (d/dt)[x(t)- px(t-\tau)]+q(t)x(t-\sigma)=0,\quad t\geq t_ 0.
Ladas, G., Sficas, Y. G.
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