Results 11 to 20 of about 54 (51)
Alexandria Engineering Journal, 2020 In this paper, we introduce the notion of (ω-F)-contraction and presented fixed point results for such contractions. Thereafter, by using the technique of fixed point method, we propose a simple solution for a nonlinear integral equation.
Sumati Kumari Panda +2 more
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A sturm separation theorem for a linear 2n th order self‐adjoint differential equation
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 29-46, 1995., 1994 For the 2nth order equation, (−1) nv(2n) + qv = 0, with q continuous, we obtain a Sturm Separation theorem, involving n + 1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two linearly independent solutions of the second order equation separate each other.
Charles T. Fulton +2 more
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Fractional Sturm-Liouville operators on compact star graphs
Demonstratio MathematicaIn this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
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Non-homogeneous BVPs for second-order symmetric Hamiltonian systems
Open MathematicsBy making use of Bolle’s method, we show that the following problem has infinitely many solutions: x¨+V′(x)=0,x(0)cosα−x˙(0)sinα=x0,x(1)cosβ−x˙(1)sinβ=x1,\begin{array}{rcl}\ddot{x}+{V}^{^{\prime} }\left(x)& =& 0,\\ x\left(0)\cos \alpha -\dot{x}\left(0 ...
Chen Yingying, Dong Yujun, Wang Baiqian
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Boundary value problems for integro-differential and singular higher-order differential equations
Open MathematicsWe investigate third-order strongly nonlinear differential equations of the type (Φ(k(t)u″(t)))′=f(t,u(t),u′(t),u″(t)),a.e. on[0,T],\left(\Phi \left(k\left(t){u}^{^{\prime\prime} }\left(t)))^{\prime} =f\left(t,u\left(t),u^{\prime} \left(t),{u}^{^{\prime ...
Anceschi Francesca +3 more
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Real and non-real eigenvalues of regular indefinite Sturm–Liouville problems
Open MathematicsIn this paper, we study the regular Sturm–Liouville problems with discontinuous boundary conditions and a weight function which changes sign. We show that the algebraic and geometric multiplicities of the real eigenvalues are the same for some classes of
Zhao Yingchun, Buren Mandula
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Quantum and electrostatic models of Chebyshev polynomials of type IV
Demonstratio MathematicaIn this work, we study the Chebyshev polynomials of the fourth kind as solutions of a singular Sturm–Liouville problem and establish their differential, orthogonality, and extremal properties. We derive a Rodrigues-type formula and a generating function,
Toribio-Milane Juan +2 more
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Demonstratio MathematicaIn this paper, we investigate the β −Sturm-Liouville problem within the framework of a generalized quantum difference calculus, which extends Hahn’s difference operator to the half-line.
Koşar Nida Palamut, Koşar Cem
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, 2004 Asymptotic solutions for the interior double pole Sturm-Liouville boundary value problem are obtained using a method of matched asymptotic approximations.
Acho, Thomas M.
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Zettl: A new proof of the inequalities among SturmLiouville eigenvalues
, 2008 . We consider self-adjoint regular Sturm-Liouville problems with positive leading coefficients and weight functions. A new proof of the inequalities among the eigenvalues for separated boundary conditions and those for coupled boundary conditions ...
Qun Lin +3 more
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