WebApr 11, 2024 · It is the first time to study differential equation containing both indefinite and repulsive singularities simultaneously. A set of sufficient conditions are obtained for the existence of positive periodic solutions. The theoretical underpinnings of this paper are the positivity of Green’s function and fixed-point theorem in cones. WebThe fixed point iteration xn+1 = cos xn with initial value x1 = −1. An attracting fixed point of a function f is a fixed point xfix of f such that for any value of x in the domain that is close enough to xfix, the fixed-point iteration sequence converges to xfix .
Fixed Point Theory Approach to Existence of Solutions with Differential …
WebMar 24, 2024 · The fixed points of this set of coupled differential equations are given by (8) so , and (9) (10) giving . The fixed points are therefore , , and . Analysis of the stability of the fixed points can be point by linearizing the equations. Differentiating gives (11) WebFixed point theorems are very important tools for proving the existence and uniqueness of solutions to various mathematical models, differential, integral, partial differential equations and ... joe biden\u0027s top accomplishments
Special Issue "Recent Advances in Fractional Differential Equations …
WebFixed point theory is one of the outstanding fields of fractional differential equations; see [22,23,24,25,26] and references therein for more information. Baitiche, Derbazi, Benchohra, and Cabada [ 23 ] constructed a class of nonlinear differential equations using the ψ -Caputo fractional derivative in Banach spaces with Dirichlet boundary ... WebApr 14, 2024 · In the current paper, we demonstrate a new approach for an stabilization criteria for n-order functional-differential equation with distributed feedback control in the integral form. We present a correlation between the order of the functional-differential equation and degree of freedom of the distributed control function. We present two … WebEach specific solution starts at a particular point .y.0/;y0.0// given by the initial conditions. The point moves along its path as the time t moves forward from t D0. We know that the solutions to Ay00 CBy0 CCy D0 depend on the two solutions to As2 CBs CC D0 (an … joe biden\u0027s speech on nashville shooting