Results 11 to 20 of about 10,120 (154)
Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 This addendum concerns the paper of the above title found in EJQTDE No. 25 (2008). There are some misprints in that paper: (i) Page 3, line 5 should be $k:[0,1] \times[0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e.
Ahmed El-Sayed, H. H. G. Hashem
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Integrable and continuous solutions of a nonlinear quadratic integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We are concerned here with a nonlinear quadratic integral equation of Volterra type. The existence of at least one $L_1-$ positive solution will be proved under the Carath\`{e}odory condition.
Ahmed El-Sayed, H. H. G. Hashem
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Analytical and Numerical Approaches via Quadratic Integral Equations
AxiomsA quadratic integral Equation (QIE) of the second kind with continuous kernels is solved in the space C([0,T]×[0,T]). The existence of at least one solution to the QIE is discussed in this article.
Jihan Alahmadi +2 more
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On Monotonic Integrable Solutions for Quadratic Functional Integral Equations [PDF]
Mediterranean Journal of Mathematics, 2012 The object of this paper is to study the stability of a nonlinear Urysohn functional integral equation \[ x(t)= f_1(t, x(\Phi_1(t)))+ f_2(t, x(t)) \int^t_0 u(t,s,x(\Phi_2(s)))\,ds,\quad t\in L. \]
Cichoń, Mieczysław +1 more
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On Solutions of Quadratic Integral Equations in Orlicz Spaces [PDF]
Mediterranean Journal of Mathematics, 2014 في هذه الورقة، ندرس المعادلة المتكاملة التربيعية للنموذج $$x(t) = g(t) +\lambda . G(x )( t) . \int\nolimits_a^ bK (t, s)f(s, x(s )){\ rm d}s.$$ نناقش وجود حلول للمعادلة أعلاه في مساحات وظيفية مختلفة. نؤكد على الحالة عندما يكون لدى f نمو غير حدودي مما يؤدي إلى حلول في مساحات Orlicz. يتم تقديم النظرية التفصيلية لفئة واسعة من المساحات. تم إثبات بعض نظريات
Mieczysław Cichoń +1 more
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Quadratic first integrals of kinetic differential equations [PDF]
Journal of Mathematical Chemistry, 2013 Classes of kinetic differential equations are delineated which do have a quadratic first integral, and classes which can not have one. Example reactions corresponding to the obtained kinetic differential equations are shown, and a few figures showing the trajectories of the corresponding systems are also included.
Nagy, Ilona, Tóth, János
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Integral Solutions of the Ternion Quadratic Equation
International Journal for Research in Applied Science and Engineering Technology, 2023 Abstract: In order to find its non zero unique integral solutions for the quadratic diophantine equation with three unknowns given by is analysed. The equation under consideration exhibits multiple patterns of solutions. The solutions are presented with a few fascinating aspects.
Gowri Shankari A, Sangavi S
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ON URYSOHN-VOLTERRA FRACTIONAL QUADRATIC INTEGRAL EQUATIONS
Journal of Applied Analysis & Computation, 2018 1 ...
Darwish, Mohamed Abdalla +2 more
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Integral Solutions of Quadratic Diophantine Equation
, 2023 The ternary quadratic Diophantine equationM2 + N2 − 14M + 18N = 130(R 2 − 1) is analysed for its non-zero integral solutions.Different patterns of solutions are obtained by employing the methods of factorization, and cross multiplication.
Manju Somanath +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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