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Quadratic BSDEs with Singular Generators and Unbounded Terminal Conditions: Theory and Applications
We investigate a class of quadratic backward stochastic differential equations (BSDEs) with generators that are singular in y. First, we establish the existence of solutions and a comparison theorem, thereby extending the existing results in the ...
Wenbo Wang, Guangyan Jia
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Toponogov's triangle comparison theorem in model spaces of nonconstant curvature [PDF]
So far there exist two versions of Toponogov's triangle comparison theorem with surfaces of revolution as model spaces. U. Abresch has considered surfaces of nonpositive curvature and D.
Kürzel, Matthias
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We deal with fractional mean field backwardWe deal with fractional mean field backward stochastic differential equations with hurst parameter $H\in (\frac{1}{2},1)$ when the coefficient $f$ satisfy a stochastic Lipschitz conditions, we prove the ...
Mostapha Abdelouahab Saouli
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Variational comparison theorem and perturbations of nonlinear systems [PDF]
By employing vector Lyapunov-like functions and the theory of systems of differential inequalities, a variational comparison theorem and generalized variation of constants formula are developed.
G. S. Ladde
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Boltzmann's H-theorem, its limitations, and the birth of (fully) statistical mechanics [PDF]
A comparison is made of the traditional Loschmidt (reversibility) and Zermelo (recurrence) objections to Boltzmann's H-theorem, and its simplified variant in the Ehrenfests' 1912 wind-tree model.
Myrvold, Wayne, Brown, Harvey R.
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The Primitive Comparison Theorem in characteristic $p$ [PDF]
We prove an analogue of Scholze\u27s Primitive Comparison Theorem for proper rigid spaces over an algebraically closed non-archimedean field $K$ of characteristic $p$.
Heuer, Ben
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A Quantitative Comparison Theorem For Nonlinear Equations [PDF]
this paper is to establish a quantitative comparison theorem in which the effect of p i and q i is taken into account. This quantitative comparison theorem is more delicate than Theorem A in [10], and also provides some further applications to the non ...
Xiaodong Zhu
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Oscillation of solutions to fourth-order trinomial delay differential equations
The objective of this article is to study the oscillation properties of the solutions to the fourth-order linear trinomial delay differential equation $$ y^{(4)}(t)+p(t)y'(t)+q(t)y(\tau(t))=0.
Jozef Dzurina +2 more
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On the comparison theorem for multidimensional BSDEs [PDF]
International audienceIn this Note, we give a necessary and sufficient condition under which the comparison theorem holds for multidimensional backward stochastic differential equations (BSDEs) and for matrix-valued ...
Ying Hu +3 more
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This paper serves as an addendum to the paper titled Methods of extending lower order problems to higher order problems in the context of smallest eigenvalue comparisons appearing in EJQTDE no. 99, 2011.
Jeffrey Neugebauer
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