[PDF] Top 20 Spectral Theory from the Second Order q Difference Operator
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Spectral Theory from the Second Order q Difference Operator
... Swarttouw, “On the zeros of the Hahn-Exton q-Bessel function and associated q-Lommel polynomials,” Journal of Mathematical Analysis and Applications, vol.. Swarttouw, The Hahn-Exton q-Be[r] ... See full document
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Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
... Impulsive differential equations serve as basic models to study the dynamics of processes that are subject to sudden changes in their states. Recent development in this field has been motivated by many applied problems, ... See full document
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On the solutions of second order generalized difference equations
... many interesting results and applications in number theory as well as in fluid dynamics can be obtained. By extending the study for sequences of complex numbers and to be real, some new qualitative properties like ... See full document
14
On a nonlocal boundary value problem for nonlinear second order Hahn difference equation with two different \(q,\omega\) derivatives
... the theory of linear Hahn difference equations and investigated the existence and uniqueness results for the initial value problems for Hahn difference equations by using the method of successive approximations; ... See full document
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Principal vectors of second order quantum difference equations with boundary conditions dependent on spectral parameter
... and spectral singularities of L, and give some properties of ...and spectral singularities are important to find the spectral expansion of the operator ...of spectral singularities to ... See full document
9
An application on the second order generalized difference equations
... however, no significant progress took place on this line. Recently, equation () was recon- sidered and its inverse was defined by – , and many interesting results in applications such as in number theory as well ... See full document
6
Spectral and oscillation theory for general second order Sturm Liouville difference equations
... for second order Sturm-Liouville difference equations with general nonlinear dependence on the spectral parameter ...for second order Sturm-Liouville difference equations, ... See full document
19
Nontrivial solutions of second order difference equations
... The discrete boundary value problems have been studied by many authors. Some ex- istence results were obtained by using various methods [–]. For example, using the method of upper and lower solutions and the cone ... See full document
9
Separated boundary value problems for second order impulsive q integro difference equations
... the operator A : U → PC(J, R) is continuous and completely continuous. From the choice of U, there is no x ∈ ∂U such that x = θ Ax for some θ ∈ (, ... See full document
23
A study of second order q difference equations with boundary conditions
... the operator : U → C(I, R) is continuous and completely continuous (which is well known to be compact restricted to bounded ...sets). From the choice of U, there is no u Î ∂U such that u = λ(u) for some l Î ... See full document
10
On the Asymptotic Behavior of Second Order Quasilinear Difference Equations
... y ′ α − y ′ = p t y β − y (7) Discrete models are more suitable for understanding the problems in Economics, genetics, population dy- namics etc. In the qualitative theory of difference equations asymptotic ... See full document
21
Existence of solutions for nonlinear second order q difference equations with first order q derivatives
... The q-difference equations initiated at the beginning of the twentieth century [–] is a very interesting field in difference ...the theory of boundary value problems (BVPs) for nonlinear q-difference ... See full document
11
Recent development in the theory of linear partial differential equations
... Differential Equations, Spectral Theory, Theory of Distributions, Pseudo-Differential Operator, Elliptic Differential KEY WORDS AND PHRASES... Opeor, Cauchy Problem.[r] ... See full document
14
Dynamical System of Tuberculosis Considering Lost Sight Compartment
... were obtained in number theory. By extending the study for sequences of complex numbers and ℓ to be real, some new qualitative properties like rotatory, expanding and shrinking, spiral and web like were studied ... See full document
8
Nonlinear Evolution Equations for Second-order Spectral Problem
... potentials q p , , ϕ and all their derivatives with respect to x tend to zero, then Ω = −∞ +∞ ( , ) ; If they are all periodic T functions, then Ω = [0, 2 ] T ... See full document
8
Operator theory on spectrum of discrete laplace beltrami operator riemannian metric
... We have also given in each a few additional references to relevant. The constraints of space have of necessity forced us to omit many more important references that it was possible to include and we a apologize in a ... See full document
23
Oscillation Theorems for a Second Order Delay Difference Equations
... for second order nonlinear difference equation has been the subject of investigation in ...linear difference equations of second order have been ... See full document
8
Periodic solutions of nonlinear second order difference equations
... For (u,v) in the boundary of Ω, (u, v) = r. For each such (u, v), we have shown by means of Observation 3.6, that MEF(u + v) < r, and, by means of Observation 3.9, that u − Q(I − E)F (u + MEF(u + v)) < r. ... See full document
20
DYNAMICS OF A SECOND-ORDER SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS
... and from linearized stability theorem, all roots of the characteristic equation lie inside the unit disk. So, the positive equilibrium of system (6.1) is locally as- ymptotically stable. Therefore, the negative ... See full document
17
Variational principles for self-adjoint operator functions arising from second order systems
... Proof. Let us first consider the case when (I), ( & ) are satisfied. We apply [9, The- orem 2.1]. Since T is a holomorphic family of type (B), [9, Proposition 2.13] implies that conditions (i) and (ii) of [9, Theorem ... See full document
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