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Browsing Mathematics by Title

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  • Group theoretic approach to disordered systems 
    Prahalad, Y.S. (Physics Letters A. 122(6to7); 1987; 335-337.)
    The problem of a quantum particle in a gaussian homogeneous, random potential is shown to admit a stochastic symmetry group and its unitary representations are found. It is pointed out that the theory of group representation ...
  • h(x)-B-Tribonacci and h(x)-B-Tri Lucas polynomials 
    Arolkar, S.; Valaulikar, Y.S. (Kyungpook Mathematical Journal. 56(4); 2016; 1125-1133.)
    In this paper we introduce h(x)-B-Tribonacci and h(x)-B-Tri Lucas polynomials. We also obtain the identities for these polynomials.
  • Hyers-Ulam and Hyers-Ulam-Aoki-Rassias stability for linear ordinary differential equations 
    Mohapatra, A.N. (Applications and Applied Mathematics. 10(1); 2015; 49-61.)
    Here we prove the Hyers-Ulam stability and Hyers-Ulam-Aoki-Rassias stability of the n-th order ordinary linear differential equation with smooth coefficients on compact and semi-bounded intervals using successive integration ...
  • Hyers-Ulam Type Stability For Some Differential Equations 
    Sonalkar, Vishwas Pandurang
  • Identities involving partial derivatives of bivariate B-q bonacci and B-q Lucas polynomials 
    Arolkar, S.; Valaulikar, Y.S. (Palestine Journal of Mathematics. 9(1); 2020; 347-353.)
    In this paper some identities of (k, j) sup(th) order partial derivatives of B-q bonacci and B-q Lucas polynomials with respect to x and y are introduced.
  • An iterative regularization method for ill-posed Hammerstein type operator equation 
    George, S.; Kunhanandan, M. (Journal of Inverse and Ill-Posed Problems. 17(9); 2009; 831-844.)
    A combination of Newton's method and a regularization method has been considered for obtaining a stable approximate solution for ill-posed Hammerstein type operator equation. By choosing the regularization parameter according ...
  • An iterative regularization method for ill-posed Hammerstein type operator equations with monotone nonlinear part 
    Kunhanandan, M.; George, S. (International Journal of Mathematical Analysis. 4(34); 2010; 1673-1685.)
    We considered a procedure for solving an ill-posed Hammerstein type operator equation KF(x) = y, by solving the linear equation Kz = y first for z and then solving the nonlinear equation F(x) = z. Convergence analysis is ...
  • Iterative regularization methods for ill-posed Hammerstein-type operator equations in Hilbert scales 
    Argyros, I.K.; George, S.; Kunhanandan, M. (Studia Universitatis Babes-Bolayi Mathematica. 59(2); 2014; 247-262.)
    In this paper we report on a method for regularizing a nonlinear Hammerstein type operator equation in Hilbert scales. The proposed method is a combination of Lavrentieve regularization method and a Modified Newton's method ...
  • Localization of a simple eigenvalue and a corresponding eigenvector 
    Limaye, B.V.; Nair, M.T. (Houston Journal of Mathematics. 14; 1988; 129-141.)
  • A modified projection method for equations of the second kind 
    Nair, M.T. (Bulletin of the Australian Mathematical Society. 36(3); 1987; 485-492.)
    A modified projection method is suggested for the approximate solution of second kind equations and it is compared with other methods.
  • Multiple Connected Sums of Torus Links 
    Miranda, Lucas
  • Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scalese 
    George, S.; Pareth, S.; Kunhanandan, M. (Applied Mathematics and Computation. 219(24); 2013; 11191-11197.)
    In this paper we consider the two step method for approximately solving the ill-posed operator equation F(x)=f, where F:D(F) subset of or equal to X to X, is a nonlinear monotone operator defined on a real Hilbert space ...
  • Non-linear Integral Inequality in two independent variables 
    Deo, S.G.; Vaz, P.T. (International Journal of Mathematics and Mathematical Sciences, U.S.A. 11(1); 1988; 115-120.)
    In this note, the authors obtain a generalization of the integral inequality of Bihari a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial ...
  • A nonlinear extension of Fibonacci Sequence 
    Tamba, M.; Valaulikar, Y.S. (Turkish Journal of Analysis and Number Theory. 4(4); 2016; 109-112.)
    A new extension of Fibonacci sequence which yields a nonlinear second order recurrence relation is defined. Some identities and congruence properties for the new sequence are obtained.
  • Note on a partition function which assumes all integral values 
    Tamba, M. (Turkish Journal of Analysis and Number Theory. 2(6); 2014; 220-222.)
    Let G(n) denote the number of partitions of n into distinct parts which are of the form 2m, 3m, 5m, 6m-3, 8m-3, 9m-3 or 11m-3 with parts of the form 2m, 3m, 6m-3, or 11m-3 being even in number minus the number of them with ...
  • A note on Rayleigh-Schoedinger series 
    Nair, M.T. (Journal of Mathematical and Physical Sciences. 23; 1989; 185-193.)
  • On a B-q bonacci Sequence 
    Arolkar, S.; Valaulikar, Y.S. (International Journal of Advances in Mathematics. 2017(1); 2017; 1-8.)
    In this paper q-th order linear recurrence relation is defined. This new sequence is an extension of Fibonacci sequence in such a way that the coefficients of the terms on the right hand side of its recurrence relation, ...
  • On a class of linear hyperbolic differential equations 
    Deo, S.G.; Vaz, P.T. (Indian Journal of Pure and Applied Mathematics. 18(9); 1987; 801-809.)
    In the present paper the authors first present the usual convergent process of successive approximations associated to the Banach contraction principle for a class of linear hyperbolic partial differential equations. Then ...
  • On a pseudo Fibonacci sequence 
    Phadte, C.N.; Tamba, M.; Valaulikar, Y.S. (Jnanabha. 50(2); 2020; 265-268.)
    This article deals with a pseudo Fibonacci sequence and its properties. Some well known identities are obtained in terms of the identities of generalised Fibonacci sequence. Modular properties different from those of ...
  • On a Volterra Stieltjes integral equation 
    Vaz, P.T.; Deo, S.G. (Journal of Applied Mathematics and Stochastic Analysis. 3(3); 1990; 177-191.)
    The paper deals with a study of linear Volterra integral equations involving Lebesgue-Stieltjes integrals in two independent variables. The authors prove an existence theorem using the Banach fixed-point principle. An ...

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