Results 31 to 40 of about 2,816,497 (287)
Energy conditions, especially the null energy condition (NEC), are generically imposed on solutions to retain a physically sensible classical field theory and they also play an important role in the AdS/CFT duality.
Carlos Hoyos +4 more
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Monotone approximations of unstable solutions
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Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model
We investigate the traveling wave solutions in a reaction-diffusion epidemic model. The existence of the wave solutions is derived through monotone iteration of a pair of classical upper and lower solutions.
Sheng Wang +3 more
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The paper is devoted to the study of the existence and analysis of the qualitative properties of solutions for one class of integral equations with monotonic nonlinearity on the entire line.
Khachatur Aghavardovich Khachatryan +1 more
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In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive ...
Ali Muhib +5 more
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Monotonic solution of the translation equation [PDF]
The translation equation \[ (1)\quad F(F(x,\alpha),\beta)=F(x,\beta \alpha) \] is considered for F:\(X\to G\) (linearly ordered: the set X and the group G) satisfying further \(F(x,1)=x\) for \(x\in X\). The main result reads: Every transitive (i.e.
Gregorczyk, A., Tabor, J.
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Monotonic properties of Kneser solutions of second order linear differential equations with delayed argument [PDF]
In this paper new monotonic properties of nonoscillatory solutions for second order linear functional differential equations with delayed argument \[y{''}(t)=p(t)y(\tau(t))\] have been established.
Blanka Baculíková
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Properties of solutions to a second order nonlinear differential equation
In this note, we show when all solutions to the nonlinear differential equation x″+c(t)f(x)g(x′)x′+a(t,x)=0 are bounded. Furthermore, the solutions are either oscillatory or monotonic and asymptotically stable.
Allan J. Kroopnick
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Quantifying non-monotonicity of functions and the lack of positivity in signed measures
In various research areas related to decision making, problems and their solutions frequently rely on certain functions being monotonic. In the case of non-monotonic functions, one would then wish to quantify their lack of monotonicity.
Youri Davydov, Ričardas Zitikis
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ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller +14 more
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