Results 11 to 20 of about 74,240 (211)
Proceedings of the American Mathematical Society, 1976 A general comparison theorem is extracted from the proof of a recent comparison theorem of Leighton and Oo Kian Ke. The result is applied to a comparison theorem for focal points.
H. Guggenheimer
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Journal of Differential Equations, 1978 AbstractThis paper gives a generalization of the Sturm comparison theorem for differential equations (p): y″ = p(t)y, (q): y″ = q(t)y under the assumption that the function p − q changes its sign exactly once on [a, b] or ∝tbp − q, ∝atp − q maintain the sign on [a, b].
Staněk, Svatoslav
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A new look at an old comparison theorem [PDF]
, 2021 summary:We present an integral comparison theorem which guarantees the global existence of a solution of the generalized Riccati equation on the given interval $[a,b)$ when it is known that certain majorant Riccati equation has a global solution on $[a,b)
Jaroš, Jaroslav
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Comparison theorem of one-dimensional stochastic hybrid delay systems [PDF]
, 2008 The comparison theorem of stochastic differential equations has been investigated by many authors. However, little research is available on the comparison theorem of stochastic hybrid systems, which is the topic of this paper.
Yuan, Chenggui +6 more
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The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]
, 2008 This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X. +5 more
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Comparison theorem for oscillation of fourth-order nonlinear retarded dynamic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This work is concerned with oscillation of a class of fourth-order nonlinear delay dynamic equations on a time scale. A new comparison theorem is established that improves related results reported in the literature.
Chenghui Zhang +2 more
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A Comparison Theorem for Eigenfunctions [PDF]
Proceedings of the American Mathematical Society, 1973 A comparison theorem of Sturm's type is obtained for eigenfunctions of general linear elliptic partial differential operators of second order on bounded domains of n-dimensional Euclidean space. The proof is almost immediate from an earlier identity of the author. The theorem is shown to be stronger than some recent theorems of Kurt Kreith.
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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On Leighton's comparison theorem
Journal of Differential Equations, 2017 We give a simple proof of a fairly flexible comparison theorem for equations of the type $-(p(u'+su))'+rp(u'+su)+qu=0$ on a finite interval where $1/p$, $r$, $s$, and $q$ are real and integrable. Flexibility is provided by two functions which may be chosen freely (within limits) according to the situation at hand.
Ghatasheh, Ahmed, Weikard, Rudi
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