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257
A FREDHOLMTYPE THEOREM FOR LINEAR INTEGRAL EQUATIONS OF STIELTJES TYPE
"... We consider the linear integral equations of Fredholm and Volterra x(t)− ∫ b a α(t,s)x(s)dg(s) = f (t) , t ∈ [a,b], and x(t)− ∫ t a α(t,s)x(s)dg(s) = f (t) , t ∈ [a,b], in the frame of the HenstockKurzweil integral and we prove results on the existence and uniqueness of solutions. More precisely, ..."
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We consider the linear integral equations of Fredholm and Volterra x(t)− ∫ b a α(t,s)x(s)dg(s) = f (t) , t ∈ [a,b], and x(t)− ∫ t a α(t,s)x(s)dg(s) = f (t) , t ∈ [a,b], in the frame of the HenstockKurzweil integral and we prove results on the existence and uniqueness of solutions. More precisely
EXISTENCE THEOREM FOR FREDHOLM TYPE INTEGRAL EQUATIONS WITH MODIFIED ARGUMENT
"... Abstract In this paper some existence theorems for a Fredholm integral equation, are given by using nonexpansive mapping technique in L 2 (Ω). 1. ..."
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Abstract In this paper some existence theorems for a Fredholm integral equation, are given by using nonexpansive mapping technique in L 2 (Ω). 1.
ON MIXED NONLINEAR INTEGRAL EQUATIONS OF VOLTERRAFREDHOLM TYPE WITH MODIFIED ARGUMENT
, 2009
"... In the present paper we consider the following mixed VolterraFredholm nonlinear integral equation with modified argument: u(t, x) = g t, x, u(t, x) ∫ t ..."
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In the present paper we consider the following mixed VolterraFredholm nonlinear integral equation with modified argument: u(t, x) = g t, x, u(t, x) ∫ t
Unbounded linear transformations of upper semiFredholm type in normed spaces
"... Abstract: This paper is devoted to the investigation of the stability of closed densely defined semiBrowder and Browder operators on Banach spaces. Our approach consists to introduce the concepts of a perturbation function and a coperturbation function in order to deduce the stability under strict ..."
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Abstract: This paper is devoted to the investigation of the stability of closed densely defined semiBrowder and Browder operators on Banach spaces. Our approach consists to introduce the concepts of a perturbation function and a coperturbation function in order to deduce the stability under strictly singular and cosingular operator perturbations. Further, our results are used to show the invariance of Browder's spectrum. Key words: Browder and semiBrowder operators, perturbation and coperturbation function, Browder's spectrum. [6] F. Fakhfakh, M. Mnif, Perturbation of semiBrowder operators and stability of Browder's essential defect and approximate point spectrum,
Iterative Reproducing Kernel Method for Solving SecondOrder Integrodifferential Equations of Fredholm Type
"... We present an efficient iterative method for solving a class of nonlinear secondorder Fredholm integrodifferential equations associated with different boundary conditions. A simple algorithm is given to obtain the approximate solutions for this type of equations based on the reproducing kernel spa ..."
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We present an efficient iterative method for solving a class of nonlinear secondorder Fredholm integrodifferential equations associated with different boundary conditions. A simple algorithm is given to obtain the approximate solutions for this type of equations based on the reproducing kernel
CONTROLLABILITY OF IMPULSIVE QUASILINEAR FRACTIONAL MIXED VOLTERRAFREDHOLMTYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
"... Dedicated to Themistocles M. Rassias on the occasion of his sixtieth birthday ..."
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Cited by 1 (0 self)
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Dedicated to Themistocles M. Rassias on the occasion of his sixtieth birthday
Fredholm Determinants, Differential Equations and Matrix Models
 COMMUNICATIONS IN MATHEMATICAL PHYSICS
, 1994
"... Orthogonal polynomial random matrix models of N x N hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form (φ(x)φ(y) — ψ(x)φ(y))/x — y. This paper is concerned with the Fredholm determinants of integral operators having kernel of this form and where the und ..."
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Cited by 142 (20 self)
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Orthogonal polynomial random matrix models of N x N hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form (φ(x)φ(y) — ψ(x)φ(y))/x — y. This paper is concerned with the Fredholm determinants of integral operators having kernel of this form and where
A Characterization of Unbounded Fredholm Operators
 Cubo
, 2003
"... This paper is a continuation of [4], where bounded Fredholm operators are studied. The theory of bounded linear Fredholmtype operators is presented in many texts, see e.g. [1], [2]. This paper is written for a broad audience and the author tries to give simple and short arguments. ..."
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Cited by 2 (1 self)
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This paper is a continuation of [4], where bounded Fredholm operators are studied. The theory of bounded linear Fredholmtype operators is presented in many texts, see e.g. [1], [2]. This paper is written for a broad audience and the author tries to give simple and short arguments.
Solvability and Fredholm . . .
 INTEGRAL EQUATIONS AND OPERATOR THEORY
"... The solvability of integral equations of the form λx(s) = y(s)+ k(s, t)x(t) dt and the behaviour of the solution x at infinity are investi0 gated. Conditions on k and on a weight function w are obtained which ensure that the integral operator K with kernel k is bounded as an operator on Xw, where ..."
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), κ ∈ L 1 (R), when the integral equation is of WienerHopf type. In this case we show that our results are particularly sharp.
Properties Of Pseudoholomorphic Curves In Symplectizations III: Fredholm Theory
, 1996
"... . We shall study smooth maps ~ u : S ! R\ThetaM of finite energy defined on the punctured Riemann surface S = Sn \Gamma and satisfying a CauchyRiemann type equation T ~ u j = J(~u) T ~ u for special almost complex structures J, related to contact forms on the compact three manifold M . Neit ..."
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Cited by 119 (12 self)
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. We shall study smooth maps ~ u : S ! R\ThetaM of finite energy defined on the punctured Riemann surface S = Sn \Gamma and satisfying a CauchyRiemann type equation T ~ u j = J(~u) T ~ u for special almost complex structures J, related to contact forms on the compact three manifold M
Results 11  20
of
257