Results 71 to 80 of about 696,925 (286)
On oscillation of solutions of differential equations with distributed delay
We obtain sufficient conditions for oscillation of solutions to a linear differential equation with distributed delay. We construct examples showing that constants in the conditions are unimprovable.
Vera Malygina, Tatyana Sabatulina
doaj +1 more source
The Differential and Functional Equations for a Lie Group Homomorphism are Equivalent [PDF]
I prove the "folklore" result that the functional equation for a Lie group homomorphism can be solved by solving the corresponding differential equation.Comment: 3 ...
Svetlichny, George
core
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
wiley +1 more source
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
wiley +1 more source
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations
Consider the second-order linear delay differential equation x′′(t)+p(t)x(τ(t))=0, t≥t0, where p∈C([t0,∞),ℝ+), τ∈C([t0,∞),ℝ), τ(t) is nondecreasing, τ(t)≤t for t≥t0 and limt→∞τ(t)=∞, the (discrete analogue) second-order difference equation Δ2x(n)+p(n)x(τ(
L. K. Kikina, I. P. Stavroulakis
doaj +1 more source
A solution to a fractional order semilinear equation using variational method
We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
doaj +1 more source
On solutions of differential and functional equations Final report [PDF]
Solutions of differential and functional ...
Proctor, T. G., Suber, H. H.
core +1 more source
Extreme Analysis of a Non-convex and Nonlinear Functional of Gaussian Processes -- On the Tail Asymptotics of Random Ordinary Differential Equations [PDF]
In this paper, we consider a stochastic system described by a differential equation admitting a spatially varying random coefficient. The differential equation has been employed to model various static physics systems such as elastic deformation, water
Liu, Jingchen, Zhou, Xiang
core
Pontryagin principle for a Mayer problem governed by a delay functional differential equation
We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
core +3 more sources

