Results 31 to 40 of about 18,904 (165)

On solvability of nonlinear boundary value problems with integral condition for the system of hyperbolic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2015
For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
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Integrable Equations in Nonlinear Geometrical Optics [PDF]

Studies in Applied Mathematics, 2004
Geometrical optics limit of the Maxwell equations for nonlinear media with the Cole–Cole dependence of dielectric function and magnetic permeability on the frequency is considered. It is shown that for media with slow variation along one axis such a limit gives rise to the dispersionless Veselov–Novikov equation for the refractive index.
KONOPELCHENKO, Boris, A. MORO
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Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

Journal of Applied Mathematics, 2012
A numerical method to solve nonlinear Fredholm integral equations of second kind is presented in this work. The method is based upon hybrid function approximate.
Jianhua Hou, Beibo Qin, Changqing Yang
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Approximate Solution of an Optimal Control Dot Mobile Problem for a Nonlinear Hyperbolic Equation

Моделирование и анализ информационных систем, 2014
In this article, we consider the approximate solution of an optimal control dot mobile problem for a system of nonlinear partial hyperbolic and ordinary differential equations with initial and boundary value conditions and a nonlinear optimality ...
T. K. Yuldashev
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Complete Integrability of Nonlinear Evolution Equations [PDF]

Progress of Theoretical Physics, 1975
Summary: It is shown that a broad class of nonlinear evolution equations, which have been systematically discussed by Ablowitz, Kaup, Newell and Segur, can be described as the Hamiltonian systems and that these Hamiltonian systems are completely integrable.
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On the solution of intuitionistic fuzzy nonlinear Fredholm integral equation using direct computational method

Journal of Big Data
Fuzzy integral equations play an important role in addressing uncertain mathematical problems. There are various techniques present in the literature to solve fuzzy linear integral equations.
Zain Khan, Saleem Abdullah, Ariana Abdul Rahimzai, Saifullah Khan   +3 more
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Certain Novel Dynamic Inequalities Applicable in the Theory of Retarded Dynamic Equations and Their Applications

Mathematics
In this article, we establish certain time-scale-retarded dynamic inequalities that contain nonlinear retarded integral equations on various time scales. These inequalities extend and generalize some significant inequalities existing in the literature to
Sujata Bhamre, Nagesh Kale, Subhash Kendre, James Peters   +3 more
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The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w-distances

Advances in Difference Equations, 2017
In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to
Teerawat Wongyat, Wutiphol Sintunavarat
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

Journal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
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Admissibility and Nonlinear Volterra Integral Equations [PDF]

Proceedings of the American Mathematical Society, 1970
Nonlinear perturbations of linear Volterra integral equations are studied in an abstract setting which contains and generalizes some earlier results on the same problem. The perturbed problem is first written as a variation of constants equation on a Fréchet space.
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