Results 81 to 90 of about 683,225 (336)

Representation and stability of solutions of systems of functional differential equations with multiple delays

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
This paper is devoted to the study of systems of nonlinear functional differential equations with time-dependent coefficients and multiple variable increasing delays represented by functions $g_i(t)
Michal Pospíšil
doaj   +1 more source

Generalized-function solutions of differential and functional differential equations

open access: yesJournal of Mathematical Analysis and Applications, 1982
Recently there has been considerable interest in problems concerning the existence of solutions to differential and functional differential equations (FDE) in various spaces of generalized functions. Many important areas in theoretical and mathematical physics, theory of partial differential equations, quantum electrodynamics, operational calculus, and
openaire   +2 more sources

On solutions of differential and functional equations Final report [PDF]

open access: yes
Solutions of differential and functional ...
Proctor, T. G., Suber, H. H.
core   +1 more source

Coarse-grained forms for equations describing the microscopic motion of particles in a fluid

open access: yes, 2013
Equations of motion for the microscopic number density $\hat{\rho}({\bf x},t)$ and the momentum density $\hat{\bf g}({\bf x},t)$ of a fluid have been obtained in the past from the corresponding Langevin equations representing the dynamics of the fluid ...
Das, Shankar P., Yoshimori, Akira
core   +1 more source

Multidimensional OMICs reveal ARID1A orchestrated control of DNA damage, splicing, and cell cycle in normal‐like and malignant urothelial cells

open access: yesMolecular Oncology, EarlyView.
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser   +11 more
wiley   +1 more source

On oscillation of solutions of differential equations with distributed delay

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
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

Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

open access: yesMolecular Oncology, EarlyView.
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani   +14 more
wiley   +1 more source

Analytic solutions of a first order functional differential equation with a state derivative dependent delay

open access: yesElectronic Journal of Differential Equations, 2009
This article concerns the first-order functional differential equation $$ x'(z)=x(p(z)+bx'(z)) $$ with the distinctive feature that the argument of the unknown function depends on the state derivative.
Pingping Zhang
doaj  

Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations

open access: yesInternational Journal of Differential Equations, 2010
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

Subexponential Growth Rates in Functional Differential Equations [PDF]

open access: yes, 2014
This paper determines the rate of growth to infinity of a scalar autonomous nonlinear functional differential equation with finite delay, where the right hand side is a positive continuous linear functional of $f(x)$. We assume $f$ grows sublinearly, and
D. Patterson, Denis, John A. D. Appleby
core  

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