Nonlinear integral equation
Convex Solutions of a Nonlinear Integral Equation of Urysohn Type
... We study the solvability of a nonlinear integral equation of Urysohn type. Using the technique of measures of noncompactness we prove that under certain assumptions this equation possesses ...
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Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type
... In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces. Our results are obtained extend some Krasnosel’skii ...
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Hyers-Ulam Stability of Nonlinear Integral Equation
... In this example, if |kx, t| < M on square R {x, y : x ∈ a, b, y ∈ a, b}, then Fx, t, ut Kx, tut satisfies in the Lipschitz condition, where M is the Lipschitz constant. Also ϕ |λ|; therefore, if |λ| < ∞, the ...
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On a Nonlinear Integral Equation with Contractive Perturbation
... Remark 4.2. In 9, they proved the existence of solutions by means of Schauder fixed point theorem. With the presence of the Perturbation term gt, xt in the integral equation, the Schauder fixed point ...
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A fast solver for the Ornstein-Zernike equations
... of nonlinear coupled integral equations has been derived from the full partition function for atomic systems [20] and while essentially never solved without some approximations has proved a useful tool for ...
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An approximation method for the solving a class of nonlinear integral equations
... solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of nonlinear algebraic ...
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On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations
... and nonlinear integral criterion of quality is ...structure nonlinear integral equation with additional condition in the form of the differential inequality, and the algorithm to ...
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Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
... The V-FIE arises from parabolic boundary value problems. Many authors have interested in solving the linear and nonlinear integral equation. The time collo- cation method was introduced by Pachpatta ...
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Hammerstein integral equations with indefinite kernel
... On nonlinear integral equations of the Hammerstein type, in Nonlinear Integral .Equation, pp.99-154, Univ.. and Meyers, D..[r] ...
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A new iteration method for solving a class of Hammerstein type integral equations system
... of nonlinear integral equa- tions ...solving nonlinear system equations ...mensional integral equations of Urison ...the nonlinear integral equation of Fredholm ...
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Determination of a nonlinear source term in a diffusion equation with final observations
... a nonlinear source term in a quasi- linear diffusion equation with overposed final ...Applying integral identity meth- ods, data compatibilities are deduced by which the inverse source problem here is ...
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On The Existence Of Locally Attractive Solutions Of A Nonlinear Quadratic Volterra Integral Equation Of Fractional Order
... and integral equations of frac- tional order has recently received a lot of attention and now constitutes a significant branch of nonlinear analy- ...and integral equations of fractional order have ...
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An asymptotic fractional differential model of spherical flame
... of a model of initiation of a small spherical ame by a point source derived by G. Joulin. This asymptotical model for large activation energies gives the radius of the ame as the solution of a nonlinear Abel ...
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On the Singular Integral Equation Connected with the Stokes Gravity Waves
... Hence, instead of equation (12) we consider the approximate equation (20). Let us analyze this equation. Let be v S C [ 0 , 1 ], v M 0 ; M 0 0 , is a bounded set of functions, from (20) ...
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Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... of Equation (2) by using a simple transformation relation and solving the ordinary differential ...of Equation (2) by turning it into KdV equation though introducing a simple transformation, and so ...
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Analysis of Abel-type nonlinear integral equations with weakly singular kernels
... have to introduce novel techniques and results to overcome the difficult from the weakly singular kernels and nonlinear terms h and g. For example, the first important step is how to construct a suitable order ...
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On a Nonlinear Nonlocal Cauchy Problem
... If A ( t ) = A (independent of time), then the evolution operator U is replaced by the contraction semigroup S (t ) generated by A − (cf. Section II). The corresponding autonomous initial-value problem (3) has a unique ...
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Two-parameter regularization method for an axisymmetric inverse heat problem
... The available results in the literature on BHCP are mainly devoted to the heat equation where the domain is a rectangle or a box in R n . In this article, we consider a backward heat equation in an infinite ...
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Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line
... Boundary value problems are often studies in the areas of applied mathematics and physics. With the development of technology, applications of boundary value problems on the infinite interval attract increasing attention; ...
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Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials
... Fredholm integral term and second integral in ...solving nonlinear Fredholm-Volterra integral ...solving nonlinear Fredholm-Volterra integral equation ...
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