Results 21 to 30 of about 83,271,276 (264)

INVESTIGATION OF OSCILLATORY SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS OF SECOND ORDER IN A CRITICAL CASE

open access: yesМоделирование и анализ информационных систем, 2015
We consider a differential-difference equation of second order of delay type, containing the delay of the function and its derivatives. Such equations occur in the modeling of electronic devices.
E. P. Kubyshkin, A. R. Moryakova
doaj   +1 more source

Convergence of a collocation scheme for a retarded potential integral equation [PDF]

open access: yes, 2003
Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core   +3 more sources

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

Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]

open access: yes, 2006
Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
core   +1 more source

Stability and existence of multiperiodic solutions for second-order linear equations with a diagonal differentiation operator

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The stability of differential equations with periodic and quasiperiodic coefficients is a central topic in modern stability theory, with important applications in mechanics, physics, and dynamical systems. A classical result in this area is the Lyapunov
G.M. Aitenova   +3 more
doaj   +1 more source

Ulam stability and data dependence for fractional differential equations with Caputo derivative

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case ...
JinRong Wang, Linli Lv, Yong Zhou
doaj   +1 more source

On Ulam Stability and Multiplicity Results to a Nonlinear Coupled System with Integral Boundary Conditions

open access: yesMathematics, 2019
This manuscript is devoted to establishing existence theory of solutions to a nonlinear coupled system of fractional order differential equations (FODEs) under integral boundary conditions (IBCs).
Kamal Shah, Poom Kumam, Inam Ullah
doaj   +1 more source

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]

open access: yes, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE   +2 more
core   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
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

Deep Learning for Solving Integral Equations: A Problem-Oriented Review with an Axiomatic Perspective

open access: yesAxioms
This review surveys recent deep learning approaches for solving integral equations, categorizing them into three methodological families: physics-informed embedding, spectral/topological acceleration, and hybrid symbolic–numeric frameworks.
Zhiyuan Ren   +3 more
doaj   +1 more source

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