Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators. [PDF]
Jhangeer A, Abdelkader A.
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Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]
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Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
Carrillo JA, Esposito A, Mikolás L.
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Transverse Mode Instability in High-Power Yb-Doped Double-Clad Fiber Amplifiers: A Three-Layer Optical-Thermal Analysis Based on Stimulated Thermal Rayleigh Scattering. [PDF]
Cardoso ES, Samad RE, Motta CC.
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Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]
A J Al-Shatrah M, Sabah Hussein M.
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Nonlinear dynamics of Nosema ceranae and the fragile resilience of honeybee colonies under environmental strain. [PDF]
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Nonlinear Differential Equations Equivalent to Solvable Nonlinear Equations
SIAM Journal on Mathematical Analysis, 1976This paper shows in a simple and direct way the equivalence of the nonlinear differential equation $y'' + r(x)y' + q(x)Z(y) = A(y)y'^2 + g(x)z(y)[u(y)]^a $, $Z(y) = z(y)u(y)$, to the linear equation $L_1 u = g(x)$, $a = 0$, or to the nonlinear equation $L_1 u = g(x)u^a $, $a \ne 0$, where $L_1 = {{d^2 } / {dx^2 }} + r(x){d / {dx}} + q(x)$.
Klamkin, Murray S., Reid, James L.
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Nonlocal Nonlinear Schrödinger Equations
2023The authors treat here the Cauchy problem for Schrödinger equation \[ iu_ t=Au+kg[(Bu,u)]Cu,\quad u(0)=u_ 0.\leqno (1) \] Here \(u\) is a mapping of time interval \(S=[0,T)\) into a complex Hilbert space \(H\) with scalar product \((.,.),\) and \(A,B,C\) denote self-adjoint linear operators on \(H\) with densely defined domain in \(H\). Furthermore \(g\
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