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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for a Kirchhoff-type fractional coupled problem with p-Laplacian
p-Laplacian算子 Kirchhoff型分数 耦合问题 多重解
2023/11/13
We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：t-stabilities and t-structures for the weighted projective line of type (2)
加权投影线 t-稳定性 t-结构
2023/11/13
We focus on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the nest t-stabilities on certain triangulate...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On varieties of general type with many global forms
全局形式 一般类型 品种
2023/5/6
We expect that the study of pluricanonical systems of varieties of general type with many global forms can be reduced to the study of pluricanonical systems of varieties of lower dimensions. We show t...
Mean value properties of harmonic functions on Sierpinski gasket type fractals
Sierpinski gasket Laplacian harmonic function mean value property analysis on fractals
2012/6/27
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Further...
On Some Inequalities of Simpson's Type via h-Convex Functions
h− convex and h− concave functions Simpson抯 Inequality Holder nequality
2012/6/21
In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give...
Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis
Mellin transform Riemann zeta-function Kontorovich-Lebedev transform modified Bessel functions Lambert transform
2012/6/21
We consider integral and series transformations, which are associated with Ramanujan's identities, involving various arithmetic functions and a ratio of products of Riemann's zeta functions of differe...
Periodic solutions for Duffing type p-Laplacian equations
Periodic solutions Duffing type p-Laplacian equations Manasevich-Mawhin continuation theorem
2011/10/13
In this paper, we study periodic solutions for a class of Duffing type p-Laplacian equations. By using the Manasevich-Mawhin continuation theorem, some new results on the existence of periodic solutio...
Existence of subharmonic periodic solutions to a class of second-ordernonlinear non-autonomous mixed-type functional differentialequations
variational structure critical points operator equations subdifferentiability subharmonic periodic solutions second-order mixed-type nonlinearfunctional differential equations
2011/10/11
In this paper, by introducingsubdifferentiability of lower semicontinuous convex functions and the conjugate functions, as well as critical point theory and operator equations theory, we obtain multip...
Bohl-Perron type stability theorems for linear difference equations with infinite delay
Bounded delay uniform stability Perron’s property phase space
2010/12/15
Relation between two properties of linear difference equations with infinite delay is inves-
tigated: (i) exponential stability, (ii) ℓp-input ℓq-state stability (sometimes is called Perr...
Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears
Type II 3D shear turbulence paradox channel flow hydrodynamic stability
2010/12/16
There are two types of 3D shears in channel flows: (U(y, z), 0, 0)and (U(y), 0,W(y)). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I...
Deterministic spectral properties of Anderson-type Hamiltonians
spectral properties Anderson-type Hamiltonians
2010/12/1
This paper concerns the deterministic spectral properties of the self-adjoint operator A! = A + V! where V! = Pn !n( · , 'n)'n on a separable Hilbert space H with a sequence {'n} H. Here ! = (!1, !2...
On the nonexistence of limit cycle for a type of plane differential system
differential systems singular points limit cycles}nonexistence
2009/10/29
Through studying the singular points of the plane differential systems，the sufficientconditions of the nonexistence of Iimit cycle for the system are obtained by means of comparing theorem ，analyzing ...
Hadamard Type Inequalities for $m$-Convex and $(\alpha,m)$-Convex Functions
$m$-convex functions $(lpha,m)$-convex functions Hadamard's inequalities
2010/1/22
In this paper we establish several Hadamard type inequalities for differentiable -convex and -convex functions. We also establish Hadamard type inequalities for products of two -convex or -convex fu...
A Filippov Type Existence Theorem for a Class of Second-Order Differential Inclusions
Differential inclusion Measurable selection Solution set
2010/1/25
We prove a Filippov-Gronwall type inequality for solutions of a nonconvex second-order differential inclusion of Sturm-Liouville type.