Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation
نویسندگان
چکیده
Abstract In this work, we study the existence of one and exactly solution x ? C [ 0 , 1 ] x\in C\left[0,1] , for a delay quadratic integral equation Volterra-Stieltjes type. As special cases fractional order Chandrasekhar cubic equation.
منابع مشابه
Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations
Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using...
متن کاملVolterra-stieltjes Integral Equation in Reflexive Banach Spaces
Volterra-Stieltjes integral equations have been studied in the space of continuous functions in many papers for example, (see [3]-[7]). Our aim here is to studing the existence of weak solutions to a nonlinear integral equation of Volterra-Stieltjes type in a reflexive Banach space. A special case will be considered.
متن کاملSolvability of Nonlinear Hammerstein Quadratic Integral Equations
We are concerning with a nonlinear Hammerstein quadratic integral equation. We prove the existence of at least one positive solution x ∈ L1 under Carathèodory condition. Secondly we will make a link between Peano condition and Carathèodory condition to prove the existence of at least one positive continuous solution. Finally the existence of the maximal and minimal solutions will be proved.
متن کاملQuadratic Integral Equations in Reflexive Banach Space
This paper is devoted to proving the existence of weak solutions to some quadratic integral equations of fractional type in a reflexive Banach space relative to the weak topology. A special case will be considered.
متن کاملExponential Stability Analysis via Integral Quadratic Constraints
The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements. Gain bounds often imply exponential stability, but it can be challenging to compute useful numerical bounds on the exponential decay rate. This work presents a generalization of the classical IQC results of Megretski and Rantzer [1...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2021
ISSN: ['0420-1213', '2391-4661']
DOI: https://doi.org/10.1515/dema-2021-0003