Results 271 to 280 of about 260,232 (317)

Transient Flow Characterization between Matrix and Natural Fractures in Shale Oil Reservoir. [PDF]

ACS Omega
Wang Z, Wang S, Liu J, Zhang W, Xia D.
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Maximum decay rate for the nonlinear Schrödinger equation.

Bégout, Pascal
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Nonlinear Differential Equations Equivalent to Solvable Nonlinear Equations

SIAM Journal on Mathematical Analysis, 1976
This 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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ON BIFURCATION OF NONLINEAR EQUATIONS

Acta Mathematica Scientia, 1981
Abstract In this paper we discuss in the Banach space the Banach space the bifurcation problem of the nonlinear equation F (γ, x) = 0 with trivial solution (γ, o). The sufficient conditions are given for (γ0, o) to be a bifurcation point of this equation, and the stability of the corresponding branching solutions is studied.
Fang, Dexing, Liu, Jiaquan
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On a nonlinear volterra equation

Mathematical Methods in the Applied Sciences, 1986
AbstractNonnegative solutions u of the nonlinear Volterra equation u = a * g(u) (g(0) = 0) in mathematical physics are considered. Under certain assumptions the nonhomogenuous equation u = a * g(u) + ƒ is studied. Some approximations of nonnegative solutions of the homogenuous equation are considered by the nonnegative solutions of the nonhomogenuous ...
W. Okrasiński Wroclaw, E. Meister
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Nonlinear Equations of Thermoviscoelectroelasticity

Mathematics and Mechanics of Solids, 1998
Nonlinear equations of thermoviscoelectroelasticity are derived with the electric field vector as the independent electric variable. The equations are linearized for small deformations and weak electric fields.
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Solution of Nonlinear Equations

IEEE Transactions on Computers, 1968
Abstract—A new approach to solving a set of nonlinear equations, described by fi(x1, x2, . . ., xn) = 0, i= 1, 2, ..., n, is presented. The computation is carried out by simple matrix inversion and matrix multiplication without evaluation of ∂fi/∂xj. Thus, computation time is saved.
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A differential-equations algorithm for nonlinear equations

ACM Transactions on Mathematical Software, 1984
Summary: DAFNE is a set of FORTRAN subprograms for solving nonlinear equations that implements a method founded on the numerical solution of a Cauchy problem for a system of ordinary differential equations inspired by classical mechanics. This paper gives a detailed description of the method as implemented in DAFNE and reports on the numerical tests ...
Filippo Aluffi-Pentini, Valerio Parisi, Francesco Zirilli   +2 more
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On a Nonlinear Bessel Equation

SIAM Journal on Applied Mathematics, 1982
Numerical, power-series and asymptotic solutions are presented for the differential equation $F'' + r^{ - 1} F' - F + F^3 = 0( 0 < r < \infty )$ which arises in connection with self-focusing.
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