AN ASYMPTOTIC FORMULA FOR THE NUMBER OF SOLUTIONS ...

Asymptotic notation and solutions to the differential equations - Reddit

Could you explain the asymptotic solution of a differential equation or suggest some online resources( especially notes or articles)?

An Asymptotic for the Number of Solutions to Linear ... - NASA ADS

Abstract. We extend known results on the number of solutions to a linear equation in at least three prime numbers when the primes involved are required to ...

"Asymptotic Mean-Value Formulas for Solutions of General Second ...

We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several ...

AsymptoticSolve - Wolfram Language Documentation

AsymptoticSolve[eqn, y -> b, x -> a] computes asymptotic approximations of solutions y[x] of the equation eqn passing through {a, b}. AsymptoticSolve[eqn ...

asymptotic formulas for nonoscillatory solutions of conditionally ...

conjugate number to p, i.e., 1 p. + 1 q. = 1. In [3] it is also shown that (5) has for this constant µ = µ0 a solution with the asymptotic formula x(t) = h(t).

An invariant asymptotic formula for solutions of second-order linear ...

An invariant asymptotic formula for solutions of second-order linear ODE's An invariant-matrix technique for the approximate solution of second-order ...

Asymptotic solution of Van Der Pol's equation

1 (for the limit cycle). It is known that in domain I and in domain III the solution of equation (1.2) tends to the solutions ...

Asymptotic formula for oscillatory solutions of some singular ...

which arises for k > 1 and special forms of f in many areas. For example: In the study of phase transitions of Van der Waals fluids [3], [10], [23], ...

an asymptotic solution for a pair of first order equations

under Sturmian boundary conditions involves the use of asymptotic expressions. In the singular cases of (1.1) when the range of x is in-.

The asymptotic formula for localized solutions in Waring's problem ...

An asymptotic formula is established for the number of representations of a natural number as the sum of s positive kth powers that are ...

Asymptotic Behavior of Solutions to a Population Equation - jstor

If S(t) represents the number of susceptibles in the population at t, then ... to show that it yields a formal asymptotic expansion for the solution.

ASYMPTOTIC FORMULAS FOR q-REGULARLY VARYING ...

q-difference equation; non-oscillatory solution; asymptotic behavior; regular variation; q-regular variation; half-linear equation. c 2021 Texas ...

Asymptotic behavior of entire solutions to reaction-diffusion ...

There are so many mathematical results on the propagation phenomena of front waves in reaction-diffusion equations and we cannot follow up all of them. Here we ...

An asymptotic formula for solutions of nonoscillatory half-linear ...

In this paper we prove an asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation. (1). (r(t)Φ(y0)). 0. + c(t)Φ(y)= ...

The asymptotic formula in Waring's problem - Deep Blue Repositories

Since the double sum is the number of solutions of (3.1) as counted by S, the desired result follows from Lemma 2. This proof of Lemma 3 is due to R. C. Vaughan ...

An asymptotic formula in additive number theory

In this paper, we study this sequence from a different point of view . We study the number N (n) of solutions of the equation n = p + d, where p is a prime and ...

Solved Problem 1: Give the exact and asymptotic formula for - Chegg

Your solution must consist of the following steps: (a) First express f(n) using a summation notation (b) Next, give a closed-form formula for f( ...

Asymptotic nature of solutions of the equation with a complex valued ...

Kalas, Josef. "Asymptotic nature of solutions of the equation $\dot{z}=f(t,z)$ with a complex valued function $f$." Archivum Mathematicum 020.2 (1984): 83-94. < ...

Asymptotic properties of solutions of the emden-fowler equation at ...

of the parameters a and ; after that, we obtain asymptotic formulas for solutions dened on (x0, +). DOI: 10.1134/S0012266111010174. Consider the equation. y + ...

Asymptotic estimates of the solutions of nonlinear integral equations ...

Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations ; Journal fur die Reine und Angewandte ...