A Series Method for Solving Nonlinear Two-Point Boundary Value Problems.
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A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression
William Norrie Everitt, S. D. Wray (1982)
Czechoslovak Mathematical Journal
Algebraic methods for solving boundary value problems.
Lucas Jódar Sánchez (1986)
Stochastica
By means of the reduction of boundary value problems to algebraic ones, conditions for the existence of solutions and explicit expressions of them are obtained. These boundary value problems are related to the second order operator differential equation X(2) + A1X(1) + A0X = 0, and X(1) = A + BX + XC. For the finite-dimensional case, computable expressions of the solutions are given.
An Equation With Left and Right Fractional Derivatives
B. Stanković (2006)
Publications de l'Institut Mathématique
Approximation de quelques problèmes de type Stokes par une méthode d'èlements finis mixtes.
Carlos Conca (1984)
Numerische Mathematik
Boundary value problems for ODEs
Tadeusz Jankowski (2003)
Czechoslovak Mathematical Journal
We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Common general practical method for solving ordinary and partial differential equations
K. Orlov (1979)
Matematički Vesnik
Convolution product of periodic distributions and the Dirichlet problem on the unit disc
Urszula Sztaba (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations
Malkhaz Ashordia (1996)
Czechoslovak Mathematical Journal
Curvilinear “tubes" in the retraction method and the behaviour of solutions for the system of differential equations
B. Vrdoljak (1980)
Matematički Vesnik
Deficiency indices of a differential operator satisfying certain matching interface conditions.
Baruah, Pallav Kumar, Venkatesulu, M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Differential equations with interface conditions
Štefan Schwabik (1980)
Časopis pro pěstování matematiky
Equivariant degree of convex-valued maps applied to set-valued BVP
Zdzisław Dzedzej (2012)
Open Mathematics
An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.
Existence and uniqueness theorems for third order boundary value problems
A. R. Aftabizadeh, Joseph Wiener (1986)
Rendiconti del Seminario Matematico della Università di Padova
Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments
Ravi P. Agarwal (1991)
Annales Polonici Mathematici
Linear and nonlinear variational inequalities on half-spaces
Svatopluk Fučík, Jaroslav Milota (1975)
Commentationes Mathematicae Universitatis Carolinae
Multipoint boundary value problems for ODEs. Part II
Tadeusz Jankowski (2004)
Czechoslovak Mathematical Journal
We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Newton interpolating series at distinct points with coefficients in a real Banach algebra.
Groza, Ghiocel, Pop, Nicolae (2011)
International Journal of Mathematics and Mathematical Sciences
On a differential-algebraic problem
Anita Dąbrowicz-Tlałka, Tadeusz Jankowski (2000)
Applications of Mathematics
The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.
On a nonlinear nonlocal ODE and its applications
Tello, J. Ignacio (2007)
Proceedings of Equadiff 11
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