Results 81 to 90 of about 683,225 (336)
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
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Generalized-function solutions of differential and functional differential equations
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
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On solutions of differential and functional equations Final report [PDF]
Solutions of differential and functional ...
Proctor, T. G., Suber, H. H.
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Coarse-grained forms for equations describing the microscopic motion of particles in a fluid
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
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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
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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
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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
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
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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
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Subexponential Growth Rates in Functional Differential Equations [PDF]
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
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