Results 31 to 40 of about 10,120 (154)
Journal of Function Spaces, 2014 We study a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type in the Banach space BC(ℝ+). We show that this equation has at least one asymptotically stable solution.
Mohamed Abdalla Darwish, Beata Rzepka
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On quadratic integral equations in Orlicz spaces
Journal of Mathematical Analysis and Applications, 2012 The existence of a nondecreasing solution \(x\) in an Orlicz space of the quadratic integral equation \[ x(t)=g(t)+\lambda x(t)\int_a^bK(t,s)f(s,x(s))ds \] is proved for sufficiently small \(\lambda\). By considering Orlicz spaces instead of \(L_p\) spaces, it is possible to consider functions \(f\) which grow faster than polynomials and rather ...
Cichoń, Mieczysław +1 more
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MathematicsExistence of the solution for the nonlinear quadratic integral equation of the Hammerstein type in the Banach space BC(R+) has been proved by using the technique of measure of noncompactness and fixed-point theorem.
Reza Mollapourasl, Joseph Siebor
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Mathematics, 2023 This research paper focuses on investigating the solvability of a constrained problem involving a nonlinear delay functional equation subject to a quadratic functional integral constraint, in two significant cases: firstly, the existence of nondecreasing
Ahmed M. A. El-Sayed +2 more
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Analytical and numerical discussion for the quadratic integral equations
Filomat, 2023 In this work, we study the existence of at least one solution of the Quadratic integral equation with Phase-lag term. Our proof depends on a suitable combination of the Darbo?s fixed point principle and the technique of measures of noncompactness.
M.A. Abdel-Aty, M.A. Abdou
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On quadratic first integrals of the geodesic equations for type {22} spacetimes [PDF]
Communications in Mathematical Physics, 1970 It is shown that every type {22} vacuum solution of Einstein's equations admits a quadratic first integral of the null geodesic equations (conformal Killing tensor of valence 2), which is independent of the metric and of any Killing vectors arising from symmetries.
Walker, Martin, Penrose, Roger
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Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces
Journal of Function Spaces, 2014 Using the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition.
J. Caballero Mena +2 more
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014 We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
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Quadratic Integral Solutions to Double Pell Equations
Rendiconti del Seminario Matematico della Università di Padova, 2011 We study the quadratic integral points – that is, ( S -)integral points defined over any extension of degree two of the base field – on a curve defined in \mathbb{P}_3
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Integral Solutions of the Bi-Quadratic Equation
International Journal for Research in Applied Science and Engineering TechnologyAbstract: The biquadratic with six unknowns of the form has been studied for its non-trivial distinct integral solutions. A few interesting relations among the solutions and polygonal numbers are presented.
Dr. R. Radha, Ms. K. Saranya
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