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In this paper the operator-theoretical method to investigate a new type boundary value problems consisting of a two-interval Sturm-Liouville equation together with boundary and transmission conditions dependent on eigenparameter is developed.
In this paper, we have discussed the existence and uniqueness of solutions for a new class of boundary value problems consisting of sequential fractional differential equations supplemented with four point nonlocal integral fractional boundary conditions.
In this paper, we introduce a new class of boundary value problems consisting of a fractional differential equation of Riemann-Liouville type, D q R L x ( t ) = f ( t, x ( t ) ), t ∈ [ 0, T ], subject to the Hadamard fractional integral conditions x ( 0 ) = 0, x ( T ) = ∑ i = 1 n α i H I p i x ( η i ).
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Let ((U_{i},Phi_{i}, T )) be a solution of the boundary value problem consisting of equations (13 - 15 13 - 15
An electric circuit was used to simulate gas resistance, inductance, mass transfer resistance, and accumulation in the adsorbent and the void of the packed bed for the cyclic pressure swing adsorption process in the form of a boundary value problem consisting of an ordinary differential equation set.
A boundary value problem consists of finding solutions which satisfies an ordinary matrix difference equation and appropriate boundary conditions at two or more points.
Then this two boundary value problem consists in finding a zero of the equation R z_{0},z(t_{f},z_{0}),t_{f})=0.
Then, these results will be used to establish existence and uniqueness criteria, and the convergence of Picard's, approximate Picard's, quasilinearization, and approximate quasilinearization iterative methods for the complementary Lidstone boundary value problems which consist of a th order differential equation and the complementary Lidstone boundary conditions.
Let us consider the boundary value problem (BVP) consisting of the ordinary differential equation f ( k ) ( x ) = g ( x ) on ( a, b ) (1.4).
Spectral analysis of a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter with spectral singularities was first studied by Aygar and Bohner (Appl. Math. Inf. Sci. 9(4):172015720152015).
The inverse scattering problem for boundary value problem (1.1)–(1.3) consists in recovering the coefficient from the scattering data.
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